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Simplifying 5(y + -2) = -1(12 + -9y) + y Reorder the terms: 5(-2 + y) = -1(12 + -9y) + y (-2 * 5 + y * 5) = -1(12 + -9y) + y (-10 + 5y) = -1(12 + -9y) + y -10 + 5y = (12 * -1 + -9y * -1) + y -10 + 5y = (-12 + 9y) + y Combine like terms: 9y + y = 10y -10 + 5y = -12 + 10y Solving -10 + 5y = -12 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -10 + 5y + -10y = -12 + 10y + -10y Combine like terms: 5y + -10y = -5y -10 + -5y = -12 + 10y + -10y Combine like terms: 10y + -10y = 0 -10 + -5y = -12 + 0 -10 + -5y = -12 Add '10' to each side of the equation. -10 + 10 + -5y = -12 + 10 Combine like terms: -10 + 10 = 0 0 + -5y = -12 + 10 -5y = -12 + 10 Combine like terms: -12 + 10 = -2 -5y = -2 Divide each side by '-5'. y = 0.4 Simplifying y = 0.4
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