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Simplifying -9(y + 1) + 4(4y + -4) = 6(y + -4) + 9 Reorder the terms: -9(1 + y) + 4(4y + -4) = 6(y + -4) + 9 (1 * -9 + y * -9) + 4(4y + -4) = 6(y + -4) + 9 (-9 + -9y) + 4(4y + -4) = 6(y + -4) + 9 Reorder the terms: -9 + -9y + 4(-4 + 4y) = 6(y + -4) + 9 -9 + -9y + (-4 * 4 + 4y * 4) = 6(y + -4) + 9 -9 + -9y + (-16 + 16y) = 6(y + -4) + 9 Reorder the terms: -9 + -16 + -9y + 16y = 6(y + -4) + 9 Combine like terms: -9 + -16 = -25 -25 + -9y + 16y = 6(y + -4) + 9 Combine like terms: -9y + 16y = 7y -25 + 7y = 6(y + -4) + 9 Reorder the terms: -25 + 7y = 6(-4 + y) + 9 -25 + 7y = (-4 * 6 + y * 6) + 9 -25 + 7y = (-24 + 6y) + 9 Reorder the terms: -25 + 7y = -24 + 9 + 6y Combine like terms: -24 + 9 = -15 -25 + 7y = -15 + 6y Solving -25 + 7y = -15 + 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. -25 + 7y + -6y = -15 + 6y + -6y Combine like terms: 7y + -6y = 1y -25 + 1y = -15 + 6y + -6y Combine like terms: 6y + -6y = 0 -25 + 1y = -15 + 0 -25 + 1y = -15 Add '25' to each side of the equation. -25 + 25 + 1y = -15 + 25 Combine like terms: -25 + 25 = 0 0 + 1y = -15 + 25 1y = -15 + 25 Combine like terms: -15 + 25 = 10 1y = 10 Divide each side by '1'. y = 10 Simplifying y = 10
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