(3y+5)=(2y-7)

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


Simplifying
(3y + 5) = (2y + -7)

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

Remove parenthesis around (5 + 3y)
5 + 3y = (2y + -7)

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

Remove parenthesis around (-7 + 2y)
5 + 3y = -7 + 2y

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

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

Combine like terms: 2y + -2y = 0
5 + 1y = -7 + 0
5 + 1y = -7

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

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

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

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

Simplifying
y = -12

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