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Simplifying -7(y + 2) + 3(4y + -7) = 4(y + -4) + 12 Reorder the terms: -7(2 + y) + 3(4y + -7) = 4(y + -4) + 12 (2 * -7 + y * -7) + 3(4y + -7) = 4(y + -4) + 12 (-14 + -7y) + 3(4y + -7) = 4(y + -4) + 12 Reorder the terms: -14 + -7y + 3(-7 + 4y) = 4(y + -4) + 12 -14 + -7y + (-7 * 3 + 4y * 3) = 4(y + -4) + 12 -14 + -7y + (-21 + 12y) = 4(y + -4) + 12 Reorder the terms: -14 + -21 + -7y + 12y = 4(y + -4) + 12 Combine like terms: -14 + -21 = -35 -35 + -7y + 12y = 4(y + -4) + 12 Combine like terms: -7y + 12y = 5y -35 + 5y = 4(y + -4) + 12 Reorder the terms: -35 + 5y = 4(-4 + y) + 12 -35 + 5y = (-4 * 4 + y * 4) + 12 -35 + 5y = (-16 + 4y) + 12 Reorder the terms: -35 + 5y = -16 + 12 + 4y Combine like terms: -16 + 12 = -4 -35 + 5y = -4 + 4y Solving -35 + 5y = -4 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -35 + 5y + -4y = -4 + 4y + -4y Combine like terms: 5y + -4y = 1y -35 + 1y = -4 + 4y + -4y Combine like terms: 4y + -4y = 0 -35 + 1y = -4 + 0 -35 + 1y = -4 Add '35' to each side of the equation. -35 + 35 + 1y = -4 + 35 Combine like terms: -35 + 35 = 0 0 + 1y = -4 + 35 1y = -4 + 35 Combine like terms: -4 + 35 = 31 1y = 31 Divide each side by '1'. y = 31 Simplifying y = 31
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