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Simplifying -18(y + 3) + 6(4y + -4) = 5(y + -5) + 11 Reorder the terms: -18(3 + y) + 6(4y + -4) = 5(y + -5) + 11 (3 * -18 + y * -18) + 6(4y + -4) = 5(y + -5) + 11 (-54 + -18y) + 6(4y + -4) = 5(y + -5) + 11 Reorder the terms: -54 + -18y + 6(-4 + 4y) = 5(y + -5) + 11 -54 + -18y + (-4 * 6 + 4y * 6) = 5(y + -5) + 11 -54 + -18y + (-24 + 24y) = 5(y + -5) + 11 Reorder the terms: -54 + -24 + -18y + 24y = 5(y + -5) + 11 Combine like terms: -54 + -24 = -78 -78 + -18y + 24y = 5(y + -5) + 11 Combine like terms: -18y + 24y = 6y -78 + 6y = 5(y + -5) + 11 Reorder the terms: -78 + 6y = 5(-5 + y) + 11 -78 + 6y = (-5 * 5 + y * 5) + 11 -78 + 6y = (-25 + 5y) + 11 Reorder the terms: -78 + 6y = -25 + 11 + 5y Combine like terms: -25 + 11 = -14 -78 + 6y = -14 + 5y Solving -78 + 6y = -14 + 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. -78 + 6y + -5y = -14 + 5y + -5y Combine like terms: 6y + -5y = 1y -78 + 1y = -14 + 5y + -5y Combine like terms: 5y + -5y = 0 -78 + 1y = -14 + 0 -78 + 1y = -14 Add '78' to each side of the equation. -78 + 78 + 1y = -14 + 78 Combine like terms: -78 + 78 = 0 0 + 1y = -14 + 78 1y = -14 + 78 Combine like terms: -14 + 78 = 64 1y = 64 Divide each side by '1'. y = 64 Simplifying y = 64
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