9(y+3)=2(y+8)

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Solution for 9(y+3)=2(y+8) equation:


Simplifying
9(y + 3) = 2(y + 8)

Reorder the terms:
9(3 + y) = 2(y + 8)
(3 * 9 + y * 9) = 2(y + 8)
(27 + 9y) = 2(y + 8)

Reorder the terms:
27 + 9y = 2(8 + y)
27 + 9y = (8 * 2 + y * 2)
27 + 9y = (16 + 2y)

Solving
27 + 9y = 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.
27 + 9y + -2y = 16 + 2y + -2y

Combine like terms: 9y + -2y = 7y
27 + 7y = 16 + 2y + -2y

Combine like terms: 2y + -2y = 0
27 + 7y = 16 + 0
27 + 7y = 16

Add '-27' to each side of the equation.
27 + -27 + 7y = 16 + -27

Combine like terms: 27 + -27 = 0
0 + 7y = 16 + -27
7y = 16 + -27

Combine like terms: 16 + -27 = -11
7y = -11

Divide each side by '7'.
y = -1.571428571

Simplifying
y = -1.571428571

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