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Simplifying 12(5 + 27) = 4y + -1(6 + -9y) Combine like terms: 5 + 27 = 32 12(32) = 4y + -1(6 + -9y) Multiply 12 * 32 384 = 4y + -1(6 + -9y) 384 = 4y + (6 * -1 + -9y * -1) 384 = 4y + (-6 + 9y) Reorder the terms: 384 = -6 + 4y + 9y Combine like terms: 4y + 9y = 13y 384 = -6 + 13y Solving 384 = -6 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. 384 + -13y = -6 + 13y + -13y Combine like terms: 13y + -13y = 0 384 + -13y = -6 + 0 384 + -13y = -6 Add '-384' to each side of the equation. 384 + -384 + -13y = -6 + -384 Combine like terms: 384 + -384 = 0 0 + -13y = -6 + -384 -13y = -6 + -384 Combine like terms: -6 + -384 = -390 -13y = -390 Divide each side by '-13'. y = 30 Simplifying y = 30
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