(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)

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

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

Remove parenthesis around (5 + 3y)
-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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