2y+32=3y-7

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Solution for 2y+32=3y-7 equation:


Simplifying
2y + 32 = 3y + -7

Reorder the terms:
32 + 2y = 3y + -7

Reorder the terms:
32 + 2y = -7 + 3y

Solving
32 + 2y = -7 + 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.
32 + 2y + -3y = -7 + 3y + -3y

Combine like terms: 2y + -3y = -1y
32 + -1y = -7 + 3y + -3y

Combine like terms: 3y + -3y = 0
32 + -1y = -7 + 0
32 + -1y = -7

Add '-32' to each side of the equation.
32 + -32 + -1y = -7 + -32

Combine like terms: 32 + -32 = 0
0 + -1y = -7 + -32
-1y = -7 + -32

Combine like terms: -7 + -32 = -39
-1y = -39

Divide each side by '-1'.
y = 39

Simplifying
y = 39

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