(2y+3)=(5y-6)

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Solution for (2y+3)=(5y-6) equation:


Simplifying
(2y + 3) = (5y + -6)

Reorder the terms:
(3 + 2y) = (5y + -6)

Remove parenthesis around (3 + 2y)
3 + 2y = (5y + -6)

Reorder the terms:
3 + 2y = (-6 + 5y)

Remove parenthesis around (-6 + 5y)
3 + 2y = -6 + 5y

Solving
3 + 2y = -6 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
3 + 2y + -5y = -6 + 5y + -5y

Combine like terms: 2y + -5y = -3y
3 + -3y = -6 + 5y + -5y

Combine like terms: 5y + -5y = 0
3 + -3y = -6 + 0
3 + -3y = -6

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

Combine like terms: 3 + -3 = 0
0 + -3y = -6 + -3
-3y = -6 + -3

Combine like terms: -6 + -3 = -9
-3y = -9

Divide each side by '-3'.
y = 3

Simplifying
y = 3

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