
1) 2(3-5c)+1=4(1-c)____2)8-y=2*(7+y)_____3) -3(2x+1)=8x+25 ____4) (5x+7)*3=61-10x


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Let's solve each equation step-by-step:
- 2(3 - 5c) + 1 = 4(1 - c)
Step 1: Distribute the multiplication on both sides. 6 - 10c + 1 = 4 - 4c
Step 2: Combine like terms. 7 - 10c = 4 - 4c
Step 3: Move all the c terms to one side of the equation and the constant terms to the other side. -10c + 4c = 4 - 7
Step 4: Combine like terms again. -6c = -3
Step 5: Solve for c by dividing both sides by -6. c = (-3) / (-6)
c = 1/2
So, the solution to the equation is c = 1/2.
- 8 - y = 2 * (7 + y)
Step 1: Distribute the multiplication on the right side. 8 - y = 14 + 2y
Step 2: Move all the y terms to one side of the equation and the constant terms to the other side.
- y - 2y = 14 - 8
Step 3: Combine like terms. -3y = 6
Step 4: Solve for y by dividing both sides by -3. y = 6 / (-3)
y = -2
So, the solution to the equation is y = -2.
- -3(2x + 1) = 8x + 25
Step 1: Distribute the multiplication on the left side. -6x - 3 = 8x + 25
Step 2: Move all the x terms to one side of the equation and the constant terms to the other side. -6x - 8x = 25 + 3
Step 3: Combine like terms. -14x = 28
Step 4: Solve for x by dividing both sides by -14. x = 28 / (-14)
x = -2
So, the solution to the equation is x = -2.
- (5x + 7) * 3 = 61 - 10x
Step 1: Distribute the multiplication on the left side. 15x + 21 = 61 - 10x
Step 2: Move all the x terms to one side of the equation and the constant terms to the other side. 15x + 10x = 61 - 21
Step 3: Combine like terms. 25x = 40
Step 4: Solve for x by dividing both sides by 25. x = 40 / 25
x = 8/5
So, the solution to the equation is x = 8/5 or 1.6.


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