3(y+4)-5(y-1)=9y-5

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Solution for 3(y+4)-5(y-1)=9y-5 equation: 


Simplifying
3(y + 4) + -5(y + -1) = 9y + -5

Reorder the terms:
3(4 + y) + -5(y + -1) = 9y + -5
(4 * 3 + y * 3) + -5(y + -1) = 9y + -5
(12 + 3y) + -5(y + -1) = 9y + -5

Reorder the terms:
12 + 3y + -5(-1 + y) = 9y + -5
12 + 3y + (-1 * -5 + y * -5) = 9y + -5
12 + 3y + (5 + -5y) = 9y + -5

Reorder the terms:
12 + 5 + 3y + -5y = 9y + -5

Combine like terms: 12 + 5 = 17
17 + 3y + -5y = 9y + -5

Combine like terms: 3y + -5y = -2y
17 + -2y = 9y + -5

Reorder the terms:
17 + -2y = -5 + 9y

Solving
17 + -2y = -5 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
17 + -2y + -9y = -5 + 9y + -9y

Combine like terms: -2y + -9y = -11y
17 + -11y = -5 + 9y + -9y

Combine like terms: 9y + -9y = 0
17 + -11y = -5 + 0
17 + -11y = -5

Add '-17' to each side of the equation.
17 + -17 + -11y = -5 + -17

Combine like terms: 17 + -17 = 0
0 + -11y = -5 + -17
-11y = -5 + -17

Combine like terms: -5 + -17 = -22
-11y = -22

Divide each side by '-11'.
y = 2

Simplifying
y = 2

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