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Simplifying 12 + -9[y + 5] = -1[1 + -1y] Reorder the terms: 12 + -9[5 + y] = -1[1 + -1y] 12 + [5 * -9 + y * -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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