-9y+5y+16=2(5y-13)

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Solution for -9y+5y+16=2(5y-13) equation:


Simplifying
-9y + 5y + 16 = 2(5y + -13)

Reorder the terms:
16 + -9y + 5y = 2(5y + -13)

Combine like terms: -9y + 5y = -4y
16 + -4y = 2(5y + -13)

Reorder the terms:
16 + -4y = 2(-13 + 5y)
16 + -4y = (-13 * 2 + 5y * 2)
16 + -4y = (-26 + 10y)

Solving
16 + -4y = -26 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
16 + -4y + -10y = -26 + 10y + -10y

Combine like terms: -4y + -10y = -14y
16 + -14y = -26 + 10y + -10y

Combine like terms: 10y + -10y = 0
16 + -14y = -26 + 0
16 + -14y = -26

Add '-16' to each side of the equation.
16 + -16 + -14y = -26 + -16

Combine like terms: 16 + -16 = 0
0 + -14y = -26 + -16
-14y = -26 + -16

Combine like terms: -26 + -16 = -42
-14y = -42

Divide each side by '-14'.
y = 3

Simplifying
y = 3

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