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Simplifying 5(y + -2) = -2(12 + -9y) + y Reorder the terms: 5(-2 + y) = -2(12 + -9y) + y (-2 * 5 + y * 5) = -2(12 + -9y) + y (-10 + 5y) = -2(12 + -9y) + y -10 + 5y = (12 * -2 + -9y * -2) + y -10 + 5y = (-24 + 18y) + y Combine like terms: 18y + y = 19y -10 + 5y = -24 + 19y Solving -10 + 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. -10 + 5y + -19y = -24 + 19y + -19y Combine like terms: 5y + -19y = -14y -10 + -14y = -24 + 19y + -19y Combine like terms: 19y + -19y = 0 -10 + -14y = -24 + 0 -10 + -14y = -24 Add '10' to each side of the equation. -10 + 10 + -14y = -24 + 10 Combine like terms: -10 + 10 = 0 0 + -14y = -24 + 10 -14y = -24 + 10 Combine like terms: -24 + 10 = -14 -14y = -14 Divide each side by '-14'. y = 1 Simplifying y = 1
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