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Simplifying 12 + -9(1y + 5) = -1(1 + -1y) Reorder the terms: 12 + -9(5 + 1y) = -1(1 + -1y) 12 + (5 * -9 + 1y * -9) = -1(1 + -1y) 12 + (-45 + -9y) = -1(1 + -1y) Combine like terms: 12 + -45 = -33 -33 + -9y = -1(1 + -1y) -33 + -9y = (1 * -1 + -1y * -1) -33 + -9y = (-1 + 1y) Solving -33 + -9y = -1 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -33 + -9y + -1y = -1 + 1y + -1y Combine like terms: -9y + -1y = -10y -33 + -10y = -1 + 1y + -1y Combine like terms: 1y + -1y = 0 -33 + -10y = -1 + 0 -33 + -10y = -1 Add '33' to each side of the equation. -33 + 33 + -10y = -1 + 33 Combine like terms: -33 + 33 = 0 0 + -10y = -1 + 33 -10y = -1 + 33 Combine like terms: -1 + 33 = 32 -10y = 32 Divide each side by '-10'. y = -3.2 Simplifying y = -3.2
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