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Simplifying -12(y + 3) + 4(4y + -5) = 3(y + -6) + 11 Reorder the terms: -12(3 + y) + 4(4y + -5) = 3(y + -6) + 11 (3 * -12 + y * -12) + 4(4y + -5) = 3(y + -6) + 11 (-36 + -12y) + 4(4y + -5) = 3(y + -6) + 11 Reorder the terms: -36 + -12y + 4(-5 + 4y) = 3(y + -6) + 11 -36 + -12y + (-5 * 4 + 4y * 4) = 3(y + -6) + 11 -36 + -12y + (-20 + 16y) = 3(y + -6) + 11 Reorder the terms: -36 + -20 + -12y + 16y = 3(y + -6) + 11 Combine like terms: -36 + -20 = -56 -56 + -12y + 16y = 3(y + -6) + 11 Combine like terms: -12y + 16y = 4y -56 + 4y = 3(y + -6) + 11 Reorder the terms: -56 + 4y = 3(-6 + y) + 11 -56 + 4y = (-6 * 3 + y * 3) + 11 -56 + 4y = (-18 + 3y) + 11 Reorder the terms: -56 + 4y = -18 + 11 + 3y Combine like terms: -18 + 11 = -7 -56 + 4y = -7 + 3y Solving -56 + 4y = -7 + 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. -56 + 4y + -3y = -7 + 3y + -3y Combine like terms: 4y + -3y = 1y -56 + 1y = -7 + 3y + -3y Combine like terms: 3y + -3y = 0 -56 + 1y = -7 + 0 -56 + 1y = -7 Add '56' to each side of the equation. -56 + 56 + 1y = -7 + 56 Combine like terms: -56 + 56 = 0 0 + 1y = -7 + 56 1y = -7 + 56 Combine like terms: -7 + 56 = 49 1y = 49 Divide each side by '1'. y = 49 Simplifying y = 49
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