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Simplifying 17.5(y + -2) = -2(12 + -9y) + y Reorder the terms: 17.5(-2 + y) = -2(12 + -9y) + y (-2 * 17.5 + y * 17.5) = -2(12 + -9y) + y (-35 + 17.5y) = -2(12 + -9y) + y -35 + 17.5y = (12 * -2 + -9y * -2) + y -35 + 17.5y = (-24 + 18y) + y Combine like terms: 18y + y = 19y -35 + 17.5y = -24 + 19y Solving -35 + 17.5y = -24 + 19y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-19y' to each side of the equation. -35 + 17.5y + -19y = -24 + 19y + -19y Combine like terms: 17.5y + -19y = -1.5y -35 + -1.5y = -24 + 19y + -19y Combine like terms: 19y + -19y = 0 -35 + -1.5y = -24 + 0 -35 + -1.5y = -24 Add '35' to each side of the equation. -35 + 35 + -1.5y = -24 + 35 Combine like terms: -35 + 35 = 0 0 + -1.5y = -24 + 35 -1.5y = -24 + 35 Combine like terms: -24 + 35 = 11 -1.5y = 11 Divide each side by '-1.5'. y = -7.333333333 Simplifying y = -7.333333333
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