9(y+2)+2(y-3)=-15

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Solution for 9(y+2)+2(y-3)=-15 equation:


Simplifying
9(y + 2) + 2(y + -3) = -15

Reorder the terms:
9(2 + y) + 2(y + -3) = -15
(2 * 9 + y * 9) + 2(y + -3) = -15
(18 + 9y) + 2(y + -3) = -15

Reorder the terms:
18 + 9y + 2(-3 + y) = -15
18 + 9y + (-3 * 2 + y * 2) = -15
18 + 9y + (-6 + 2y) = -15

Reorder the terms:
18 + -6 + 9y + 2y = -15

Combine like terms: 18 + -6 = 12
12 + 9y + 2y = -15

Combine like terms: 9y + 2y = 11y
12 + 11y = -15

Solving
12 + 11y = -15

Solving for variable 'y'.

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

Add '-12' to each side of the equation.
12 + -12 + 11y = -15 + -12

Combine like terms: 12 + -12 = 0
0 + 11y = -15 + -12
11y = -15 + -12

Combine like terms: -15 + -12 = -27
11y = -27

Divide each side by '11'.
y = -2.454545455

Simplifying
y = -2.454545455

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