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Simplifying 5(y + -2) = -2(12 + -9y) Reorder the terms: 5(-2 + y) = -2(12 + -9y) (-2 * 5 + y * 5) = -2(12 + -9y) (-10 + 5y) = -2(12 + -9y) -10 + 5y = (12 * -2 + -9y * -2) -10 + 5y = (-24 + 18y) Solving -10 + 5y = -24 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. -10 + 5y + -18y = -24 + 18y + -18y Combine like terms: 5y + -18y = -13y -10 + -13y = -24 + 18y + -18y Combine like terms: 18y + -18y = 0 -10 + -13y = -24 + 0 -10 + -13y = -24 Add '10' to each side of the equation. -10 + 10 + -13y = -24 + 10 Combine like terms: -10 + 10 = 0 0 + -13y = -24 + 10 -13y = -24 + 10 Combine like terms: -24 + 10 = -14 -13y = -14 Divide each side by '-13'. y = 1.076923077 Simplifying y = 1.076923077
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