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Simplifying -7(y + 2) + 3(4y + -4) = 4(y + -3) + 8 Reorder the terms: -7(2 + y) + 3(4y + -4) = 4(y + -3) + 8 (2 * -7 + y * -7) + 3(4y + -4) = 4(y + -3) + 8 (-14 + -7y) + 3(4y + -4) = 4(y + -3) + 8 Reorder the terms: -14 + -7y + 3(-4 + 4y) = 4(y + -3) + 8 -14 + -7y + (-4 * 3 + 4y * 3) = 4(y + -3) + 8 -14 + -7y + (-12 + 12y) = 4(y + -3) + 8 Reorder the terms: -14 + -12 + -7y + 12y = 4(y + -3) + 8 Combine like terms: -14 + -12 = -26 -26 + -7y + 12y = 4(y + -3) + 8 Combine like terms: -7y + 12y = 5y -26 + 5y = 4(y + -3) + 8 Reorder the terms: -26 + 5y = 4(-3 + y) + 8 -26 + 5y = (-3 * 4 + y * 4) + 8 -26 + 5y = (-12 + 4y) + 8 Reorder the terms: -26 + 5y = -12 + 8 + 4y Combine like terms: -12 + 8 = -4 -26 + 5y = -4 + 4y Solving -26 + 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. -26 + 5y + -4y = -4 + 4y + -4y Combine like terms: 5y + -4y = 1y -26 + 1y = -4 + 4y + -4y Combine like terms: 4y + -4y = 0 -26 + 1y = -4 + 0 -26 + 1y = -4 Add '26' to each side of the equation. -26 + 26 + 1y = -4 + 26 Combine like terms: -26 + 26 = 0 0 + 1y = -4 + 26 1y = -4 + 26 Combine like terms: -4 + 26 = 22 1y = 22 Divide each side by '1'. y = 22 Simplifying y = 22
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