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Simplifying 86 + -117 = -8(-4y) + -17(2y) + y Combine like terms: 86 + -117 = -31 -31 = -8(-4y) + -17(2y) + y Remove parenthesis around (-4y) -31 = -8 * -4y + -17(2y) + y Multiply -8 * -4 -31 = 32y + -17(2y) + y Remove parenthesis around (2y) -31 = 32y + -17 * 2y + y Multiply -17 * 2 -31 = 32y + -34y + y Combine like terms: 32y + -34y = -2y -31 = -2y + y Combine like terms: -2y + y = -1y -31 = -1y Solving -31 = -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -31 + y = -1y + y Combine like terms: -1y + y = 0 -31 + y = 0 Add '31' to each side of the equation. -31 + 31 + y = 0 + 31 Combine like terms: -31 + 31 = 0 0 + y = 0 + 31 y = 0 + 31 Combine like terms: 0 + 31 = 31 y = 31 Simplifying y = 31
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