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Simplifying 5(y + -3) = -2(12 + -9y) + y Reorder the terms: 5(-3 + y) = -2(12 + -9y) + y (-3 * 5 + y * 5) = -2(12 + -9y) + y (-15 + 5y) = -2(12 + -9y) + y -15 + 5y = (12 * -2 + -9y * -2) + y -15 + 5y = (-24 + 18y) + y Combine like terms: 18y + y = 19y -15 + 5y = -24 + 19y Solving -15 + 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. -15 + 5y + -19y = -24 + 19y + -19y Combine like terms: 5y + -19y = -14y -15 + -14y = -24 + 19y + -19y Combine like terms: 19y + -19y = 0 -15 + -14y = -24 + 0 -15 + -14y = -24 Add '15' to each side of the equation. -15 + 15 + -14y = -24 + 15 Combine like terms: -15 + 15 = 0 0 + -14y = -24 + 15 -14y = -24 + 15 Combine like terms: -24 + 15 = -9 -14y = -9 Divide each side by '-14'. y = 0.6428571429 Simplifying y = 0.6428571429
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