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Simplifying -18(y + 1) + 6(4y + -6) = 5(y + -6) + 12 Reorder the terms: -18(1 + y) + 6(4y + -6) = 5(y + -6) + 12 (1 * -18 + y * -18) + 6(4y + -6) = 5(y + -6) + 12 (-18 + -18y) + 6(4y + -6) = 5(y + -6) + 12 Reorder the terms: -18 + -18y + 6(-6 + 4y) = 5(y + -6) + 12 -18 + -18y + (-6 * 6 + 4y * 6) = 5(y + -6) + 12 -18 + -18y + (-36 + 24y) = 5(y + -6) + 12 Reorder the terms: -18 + -36 + -18y + 24y = 5(y + -6) + 12 Combine like terms: -18 + -36 = -54 -54 + -18y + 24y = 5(y + -6) + 12 Combine like terms: -18y + 24y = 6y -54 + 6y = 5(y + -6) + 12 Reorder the terms: -54 + 6y = 5(-6 + y) + 12 -54 + 6y = (-6 * 5 + y * 5) + 12 -54 + 6y = (-30 + 5y) + 12 Reorder the terms: -54 + 6y = -30 + 12 + 5y Combine like terms: -30 + 12 = -18 -54 + 6y = -18 + 5y Solving -54 + 6y = -18 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -54 + 6y + -5y = -18 + 5y + -5y Combine like terms: 6y + -5y = 1y -54 + 1y = -18 + 5y + -5y Combine like terms: 5y + -5y = 0 -54 + 1y = -18 + 0 -54 + 1y = -18 Add '54' to each side of the equation. -54 + 54 + 1y = -18 + 54 Combine like terms: -54 + 54 = 0 0 + 1y = -18 + 54 1y = -18 + 54 Combine like terms: -18 + 54 = 36 1y = 36 Divide each side by '1'. y = 36 Simplifying y = 36
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