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Simplifying -18(y + 3) + 6(4y + -3) = 5(y + -4) + 13 Reorder the terms: -18(3 + y) + 6(4y + -3) = 5(y + -4) + 13 (3 * -18 + y * -18) + 6(4y + -3) = 5(y + -4) + 13 (-54 + -18y) + 6(4y + -3) = 5(y + -4) + 13 Reorder the terms: -54 + -18y + 6(-3 + 4y) = 5(y + -4) + 13 -54 + -18y + (-3 * 6 + 4y * 6) = 5(y + -4) + 13 -54 + -18y + (-18 + 24y) = 5(y + -4) + 13 Reorder the terms: -54 + -18 + -18y + 24y = 5(y + -4) + 13 Combine like terms: -54 + -18 = -72 -72 + -18y + 24y = 5(y + -4) + 13 Combine like terms: -18y + 24y = 6y -72 + 6y = 5(y + -4) + 13 Reorder the terms: -72 + 6y = 5(-4 + y) + 13 -72 + 6y = (-4 * 5 + y * 5) + 13 -72 + 6y = (-20 + 5y) + 13 Reorder the terms: -72 + 6y = -20 + 13 + 5y Combine like terms: -20 + 13 = -7 -72 + 6y = -7 + 5y Solving -72 + 6y = -7 + 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. -72 + 6y + -5y = -7 + 5y + -5y Combine like terms: 6y + -5y = 1y -72 + 1y = -7 + 5y + -5y Combine like terms: 5y + -5y = 0 -72 + 1y = -7 + 0 -72 + 1y = -7 Add '72' to each side of the equation. -72 + 72 + 1y = -7 + 72 Combine like terms: -72 + 72 = 0 0 + 1y = -7 + 72 1y = -7 + 72 Combine like terms: -7 + 72 = 65 1y = 65 Divide each side by '1'. y = 65 Simplifying y = 65
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