-4y-17=3(y-8)

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Solution for -4y-17=3(y-8) equation:


Simplifying
-4y + -17 = 3(y + -8)

Reorder the terms:
-17 + -4y = 3(y + -8)

Reorder the terms:
-17 + -4y = 3(-8 + y)
-17 + -4y = (-8 * 3 + y * 3)
-17 + -4y = (-24 + 3y)

Solving
-17 + -4y = -24 + 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.
-17 + -4y + -3y = -24 + 3y + -3y

Combine like terms: -4y + -3y = -7y
-17 + -7y = -24 + 3y + -3y

Combine like terms: 3y + -3y = 0
-17 + -7y = -24 + 0
-17 + -7y = -24

Add '17' to each side of the equation.
-17 + 17 + -7y = -24 + 17

Combine like terms: -17 + 17 = 0
0 + -7y = -24 + 17
-7y = -24 + 17

Combine like terms: -24 + 17 = -7
-7y = -7

Divide each side by '-7'.
y = 1

Simplifying
y = 1

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