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