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Simplifying 82 + -115 = -8(-4y) + -17(2y) + y Combine like terms: 82 + -115 = -33 -33 = -8(-4y) + -17(2y) + y Remove parenthesis around (-4y) -33 = -8 * -4y + -17(2y) + y Multiply -8 * -4 -33 = 32y + -17(2y) + y Remove parenthesis around (2y) -33 = 32y + -17 * 2y + y Multiply -17 * 2 -33 = 32y + -34y + y Combine like terms: 32y + -34y = -2y -33 = -2y + y Combine like terms: -2y + y = -1y -33 = -1y Solving -33 = -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. -33 + y = -1y + y Combine like terms: -1y + y = 0 -33 + y = 0 Add '33' to each side of the equation. -33 + 33 + y = 0 + 33 Combine like terms: -33 + 33 = 0 0 + y = 0 + 33 y = 0 + 33 Combine like terms: 0 + 33 = 33 y = 33 Simplifying y = 33
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