-5y+19=2(y-8)

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Solution for -5y+19=2(y-8) equation:


Simplifying
-5y + 19 = 2(y + -8)

Reorder the terms:
19 + -5y = 2(y + -8)

Reorder the terms:
19 + -5y = 2(-8 + y)
19 + -5y = (-8 * 2 + y * 2)
19 + -5y = (-16 + 2y)

Solving
19 + -5y = -16 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
19 + -5y + -2y = -16 + 2y + -2y

Combine like terms: -5y + -2y = -7y
19 + -7y = -16 + 2y + -2y

Combine like terms: 2y + -2y = 0
19 + -7y = -16 + 0
19 + -7y = -16

Add '-19' to each side of the equation.
19 + -19 + -7y = -16 + -19

Combine like terms: 19 + -19 = 0
0 + -7y = -16 + -19
-7y = -16 + -19

Combine like terms: -16 + -19 = -35
-7y = -35

Divide each side by '-7'.
y = 5

Simplifying
y = 5

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