-2y+13=3(y-9)

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Solution for -2y+13=3(y-9) equation:


Simplifying
-2y + 13 = 3(y + -9)

Reorder the terms:
13 + -2y = 3(y + -9)

Reorder the terms:
13 + -2y = 3(-9 + y)
13 + -2y = (-9 * 3 + y * 3)
13 + -2y = (-27 + 3y)

Solving
13 + -2y = -27 + 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.
13 + -2y + -3y = -27 + 3y + -3y

Combine like terms: -2y + -3y = -5y
13 + -5y = -27 + 3y + -3y

Combine like terms: 3y + -3y = 0
13 + -5y = -27 + 0
13 + -5y = -27

Add '-13' to each side of the equation.
13 + -13 + -5y = -27 + -13

Combine like terms: 13 + -13 = 0
0 + -5y = -27 + -13
-5y = -27 + -13

Combine like terms: -27 + -13 = -40
-5y = -40

Divide each side by '-5'.
y = 8

Simplifying
y = 8

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