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Simplifying -8(y + 3) + 3(4y + -3) = 3(y + -6) + 14 Reorder the terms: -8(3 + y) + 3(4y + -3) = 3(y + -6) + 14 (3 * -8 + y * -8) + 3(4y + -3) = 3(y + -6) + 14 (-24 + -8y) + 3(4y + -3) = 3(y + -6) + 14 Reorder the terms: -24 + -8y + 3(-3 + 4y) = 3(y + -6) + 14 -24 + -8y + (-3 * 3 + 4y * 3) = 3(y + -6) + 14 -24 + -8y + (-9 + 12y) = 3(y + -6) + 14 Reorder the terms: -24 + -9 + -8y + 12y = 3(y + -6) + 14 Combine like terms: -24 + -9 = -33 -33 + -8y + 12y = 3(y + -6) + 14 Combine like terms: -8y + 12y = 4y -33 + 4y = 3(y + -6) + 14 Reorder the terms: -33 + 4y = 3(-6 + y) + 14 -33 + 4y = (-6 * 3 + y * 3) + 14 -33 + 4y = (-18 + 3y) + 14 Reorder the terms: -33 + 4y = -18 + 14 + 3y Combine like terms: -18 + 14 = -4 -33 + 4y = -4 + 3y Solving -33 + 4y = -4 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -33 + 4y + -3y = -4 + 3y + -3y Combine like terms: 4y + -3y = 1y -33 + 1y = -4 + 3y + -3y Combine like terms: 3y + -3y = 0 -33 + 1y = -4 + 0 -33 + 1y = -4 Add '33' to each side of the equation. -33 + 33 + 1y = -4 + 33 Combine like terms: -33 + 33 = 0 0 + 1y = -4 + 33 1y = -4 + 33 Combine like terms: -4 + 33 = 29 1y = 29 Divide each side by '1'. y = 29 Simplifying y = 29
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