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Simplifying 12 + -9(y + 5) = (1 + -1y) Reorder the terms: 12 + -9(5 + y) = (1 + -1y) 12 + (5 * -9 + y * -9) = (1 + -1y) 12 + (-45 + -9y) = (1 + -1y) Combine like terms: 12 + -45 = -33 -33 + -9y = (1 + -1y) Remove parenthesis around (1 + -1y) -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 'y' to each side of the equation. -33 + -9y + y = 1 + -1y + y Combine like terms: -9y + y = -8y -33 + -8y = 1 + -1y + y Combine like terms: -1y + y = 0 -33 + -8y = 1 + 0 -33 + -8y = 1 Add '33' to each side of the equation. -33 + 33 + -8y = 1 + 33 Combine like terms: -33 + 33 = 0 0 + -8y = 1 + 33 -8y = 1 + 33 Combine like terms: 1 + 33 = 34 -8y = 34 Divide each side by '-8'. y = -4.25 Simplifying y = -4.25
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