-13=2y+3(y-6)

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Solution for -13=2y+3(y-6) equation:


Simplifying
-13 = 2y + 3(y + -6)

Reorder the terms:
-13 = 2y + 3(-6 + y)
-13 = 2y + (-6 * 3 + y * 3)
-13 = 2y + (-18 + 3y)

Reorder the terms:
-13 = -18 + 2y + 3y

Combine like terms: 2y + 3y = 5y
-13 = -18 + 5y

Solving
-13 = -18 + 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.
-13 + -5y = -18 + 5y + -5y

Combine like terms: 5y + -5y = 0
-13 + -5y = -18 + 0
-13 + -5y = -18

Add '13' to each side of the equation.
-13 + 13 + -5y = -18 + 13

Combine like terms: -13 + 13 = 0
0 + -5y = -18 + 13
-5y = -18 + 13

Combine like terms: -18 + 13 = -5
-5y = -5

Divide each side by '-5'.
y = 1

Simplifying
y = 1

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