9(y+3)=4y-13

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Solution for 9(y+3)=4y-13 equation:


Simplifying
9(y + 3) = 4y + -13

Reorder the terms:
9(3 + y) = 4y + -13
(3 * 9 + y * 9) = 4y + -13
(27 + 9y) = 4y + -13

Reorder the terms:
27 + 9y = -13 + 4y

Solving
27 + 9y = -13 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
27 + 9y + -4y = -13 + 4y + -4y

Combine like terms: 9y + -4y = 5y
27 + 5y = -13 + 4y + -4y

Combine like terms: 4y + -4y = 0
27 + 5y = -13 + 0
27 + 5y = -13

Add '-27' to each side of the equation.
27 + -27 + 5y = -13 + -27

Combine like terms: 27 + -27 = 0
0 + 5y = -13 + -27
5y = -13 + -27

Combine like terms: -13 + -27 = -40
5y = -40

Divide each side by '5'.
y = -8

Simplifying
y = -8

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