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Simplifying -2y + 4(9y + -3) = 2 + -8(-9 + -1y) Reorder the terms: -2y + 4(-3 + 9y) = 2 + -8(-9 + -1y) -2y + (-3 * 4 + 9y * 4) = 2 + -8(-9 + -1y) -2y + (-12 + 36y) = 2 + -8(-9 + -1y) Reorder the terms: -12 + -2y + 36y = 2 + -8(-9 + -1y) Combine like terms: -2y + 36y = 34y -12 + 34y = 2 + -8(-9 + -1y) -12 + 34y = 2 + (-9 * -8 + -1y * -8) -12 + 34y = 2 + (72 + 8y) Combine like terms: 2 + 72 = 74 -12 + 34y = 74 + 8y Solving -12 + 34y = 74 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -12 + 34y + -8y = 74 + 8y + -8y Combine like terms: 34y + -8y = 26y -12 + 26y = 74 + 8y + -8y Combine like terms: 8y + -8y = 0 -12 + 26y = 74 + 0 -12 + 26y = 74 Add '12' to each side of the equation. -12 + 12 + 26y = 74 + 12 Combine like terms: -12 + 12 = 0 0 + 26y = 74 + 12 26y = 74 + 12 Combine like terms: 74 + 12 = 86 26y = 86 Divide each side by '26'. y = 3.307692308 Simplifying y = 3.307692308
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