2y+7=3y-5

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Solution for 2y+7=3y-5 equation:


Simplifying
2y + 7 = 3y + -5

Reorder the terms:
7 + 2y = 3y + -5

Reorder the terms:
7 + 2y = -5 + 3y

Solving
7 + 2y = -5 + 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.
7 + 2y + -3y = -5 + 3y + -3y

Combine like terms: 2y + -3y = -1y
7 + -1y = -5 + 3y + -3y

Combine like terms: 3y + -3y = 0
7 + -1y = -5 + 0
7 + -1y = -5

Add '-7' to each side of the equation.
7 + -7 + -1y = -5 + -7

Combine like terms: 7 + -7 = 0
0 + -1y = -5 + -7
-1y = -5 + -7

Combine like terms: -5 + -7 = -12
-1y = -12

Divide each side by '-1'.
y = 12

Simplifying
y = 12

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