-18(13y+12)=-17+16(13y+8)-15(9y+17)

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Solution for -18(13y+12)=-17+16(13y+8)-15(9y+17) equation:


Simplifying
-18(13y + 12) = -17 + 16(13y + 8) + -15(9y + 17)

Reorder the terms:
-18(12 + 13y) = -17 + 16(13y + 8) + -15(9y + 17)
(12 * -18 + 13y * -18) = -17 + 16(13y + 8) + -15(9y + 17)
(-216 + -234y) = -17 + 16(13y + 8) + -15(9y + 17)

Reorder the terms:
-216 + -234y = -17 + 16(8 + 13y) + -15(9y + 17)
-216 + -234y = -17 + (8 * 16 + 13y * 16) + -15(9y + 17)
-216 + -234y = -17 + (128 + 208y) + -15(9y + 17)

Reorder the terms:
-216 + -234y = -17 + 128 + 208y + -15(17 + 9y)
-216 + -234y = -17 + 128 + 208y + (17 * -15 + 9y * -15)
-216 + -234y = -17 + 128 + 208y + (-255 + -135y)

Reorder the terms:
-216 + -234y = -17 + 128 + -255 + 208y + -135y

Combine like terms: -17 + 128 = 111
-216 + -234y = 111 + -255 + 208y + -135y

Combine like terms: 111 + -255 = -144
-216 + -234y = -144 + 208y + -135y

Combine like terms: 208y + -135y = 73y
-216 + -234y = -144 + 73y

Solving
-216 + -234y = -144 + 73y

Solving for variable 'y'.

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

Add '-73y' to each side of the equation.
-216 + -234y + -73y = -144 + 73y + -73y

Combine like terms: -234y + -73y = -307y
-216 + -307y = -144 + 73y + -73y

Combine like terms: 73y + -73y = 0
-216 + -307y = -144 + 0
-216 + -307y = -144

Add '216' to each side of the equation.
-216 + 216 + -307y = -144 + 216

Combine like terms: -216 + 216 = 0
0 + -307y = -144 + 216
-307y = -144 + 216

Combine like terms: -144 + 216 = 72
-307y = 72

Divide each side by '-307'.
y = -0.2345276873

Simplifying
y = -0.2345276873

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