2(y-1)=3(2-y)+7

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Solution for 2(y-1)=3(2-y)+7 equation: 


Simplifying
2(y + -1) = 3(2 + -1y) + 7

Reorder the terms:
2(-1 + y) = 3(2 + -1y) + 7
(-1 * 2 + y * 2) = 3(2 + -1y) + 7
(-2 + 2y) = 3(2 + -1y) + 7
-2 + 2y = (2 * 3 + -1y * 3) + 7
-2 + 2y = (6 + -3y) + 7

Reorder the terms:
-2 + 2y = 6 + 7 + -3y

Combine like terms: 6 + 7 = 13
-2 + 2y = 13 + -3y

Solving
-2 + 2y = 13 + -3y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '3y' to each side of the equation.
-2 + 2y + 3y = 13 + -3y + 3y

Combine like terms: 2y + 3y = 5y
-2 + 5y = 13 + -3y + 3y

Combine like terms: -3y + 3y = 0
-2 + 5y = 13 + 0
-2 + 5y = 13

Add '2' to each side of the equation.
-2 + 2 + 5y = 13 + 2

Combine like terms: -2 + 2 = 0
0 + 5y = 13 + 2
5y = 13 + 2

Combine like terms: 13 + 2 = 15
5y = 15

Divide each side by '5'.
y = 3

Simplifying
y = 3

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