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Simplifying -6(y + 3) + 3(4y + -3) = 5(y + -4) + 10 Reorder the terms: -6(3 + y) + 3(4y + -3) = 5(y + -4) + 10 (3 * -6 + y * -6) + 3(4y + -3) = 5(y + -4) + 10 (-18 + -6y) + 3(4y + -3) = 5(y + -4) + 10 Reorder the terms: -18 + -6y + 3(-3 + 4y) = 5(y + -4) + 10 -18 + -6y + (-3 * 3 + 4y * 3) = 5(y + -4) + 10 -18 + -6y + (-9 + 12y) = 5(y + -4) + 10 Reorder the terms: -18 + -9 + -6y + 12y = 5(y + -4) + 10 Combine like terms: -18 + -9 = -27 -27 + -6y + 12y = 5(y + -4) + 10 Combine like terms: -6y + 12y = 6y -27 + 6y = 5(y + -4) + 10 Reorder the terms: -27 + 6y = 5(-4 + y) + 10 -27 + 6y = (-4 * 5 + y * 5) + 10 -27 + 6y = (-20 + 5y) + 10 Reorder the terms: -27 + 6y = -20 + 10 + 5y Combine like terms: -20 + 10 = -10 -27 + 6y = -10 + 5y Solving -27 + 6y = -10 + 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. -27 + 6y + -5y = -10 + 5y + -5y Combine like terms: 6y + -5y = 1y -27 + 1y = -10 + 5y + -5y Combine like terms: 5y + -5y = 0 -27 + 1y = -10 + 0 -27 + 1y = -10 Add '27' to each side of the equation. -27 + 27 + 1y = -10 + 27 Combine like terms: -27 + 27 = 0 0 + 1y = -10 + 27 1y = -10 + 27 Combine like terms: -10 + 27 = 17 1y = 17 Divide each side by '1'. y = 17 Simplifying y = 17
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