(8y-9)+(15-2y)=6-18

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Solution for (8y-9)+(15-2y)=6-18 equation:


Simplifying
(8y + -9) + (15 + -2y) = 6 + -18

Reorder the terms:
(-9 + 8y) + (15 + -2y) = 6 + -18

Remove parenthesis around (-9 + 8y)
-9 + 8y + (15 + -2y) = 6 + -18

Remove parenthesis around (15 + -2y)
-9 + 8y + 15 + -2y = 6 + -18

Reorder the terms:
-9 + 15 + 8y + -2y = 6 + -18

Combine like terms: -9 + 15 = 6
6 + 8y + -2y = 6 + -18

Combine like terms: 8y + -2y = 6y
6 + 6y = 6 + -18

Combine like terms: 6 + -18 = -12
6 + 6y = -12

Solving
6 + 6y = -12

Solving for variable 'y'.

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

Add '-6' to each side of the equation.
6 + -6 + 6y = -12 + -6

Combine like terms: 6 + -6 = 0
0 + 6y = -12 + -6
6y = -12 + -6

Combine like terms: -12 + -6 = -18
6y = -18

Divide each side by '6'.
y = -3

Simplifying
y = -3

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