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

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


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

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

Solving
6 + -3y = 7 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
6 + -3y + 2y = 7 + -2y + 2y

Combine like terms: -3y + 2y = -1y
6 + -1y = 7 + -2y + 2y

Combine like terms: -2y + 2y = 0
6 + -1y = 7 + 0
6 + -1y = 7

Add '-6' to each side of the equation.
6 + -6 + -1y = 7 + -6

Combine like terms: 6 + -6 = 0
0 + -1y = 7 + -6
-1y = 7 + -6

Combine like terms: 7 + -6 = 1
-1y = 1

Divide each side by '-1'.
y = -1

Simplifying
y = -1

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