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Simplifying -9(y + 2) + 4(4y + -4) = 6(y + -5) + 8 Reorder the terms: -9(2 + y) + 4(4y + -4) = 6(y + -5) + 8 (2 * -9 + y * -9) + 4(4y + -4) = 6(y + -5) + 8 (-18 + -9y) + 4(4y + -4) = 6(y + -5) + 8 Reorder the terms: -18 + -9y + 4(-4 + 4y) = 6(y + -5) + 8 -18 + -9y + (-4 * 4 + 4y * 4) = 6(y + -5) + 8 -18 + -9y + (-16 + 16y) = 6(y + -5) + 8 Reorder the terms: -18 + -16 + -9y + 16y = 6(y + -5) + 8 Combine like terms: -18 + -16 = -34 -34 + -9y + 16y = 6(y + -5) + 8 Combine like terms: -9y + 16y = 7y -34 + 7y = 6(y + -5) + 8 Reorder the terms: -34 + 7y = 6(-5 + y) + 8 -34 + 7y = (-5 * 6 + y * 6) + 8 -34 + 7y = (-30 + 6y) + 8 Reorder the terms: -34 + 7y = -30 + 8 + 6y Combine like terms: -30 + 8 = -22 -34 + 7y = -22 + 6y Solving -34 + 7y = -22 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -34 + 7y + -6y = -22 + 6y + -6y Combine like terms: 7y + -6y = 1y -34 + 1y = -22 + 6y + -6y Combine like terms: 6y + -6y = 0 -34 + 1y = -22 + 0 -34 + 1y = -22 Add '34' to each side of the equation. -34 + 34 + 1y = -22 + 34 Combine like terms: -34 + 34 = 0 0 + 1y = -22 + 34 1y = -22 + 34 Combine like terms: -22 + 34 = 12 1y = 12 Divide each side by '1'. y = 12 Simplifying y = 12
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