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Simplifying -4y + -4(-5y + 9) = -9 + -7(-9 + -1y) Reorder the terms: -4y + -4(9 + -5y) = -9 + -7(-9 + -1y) -4y + (9 * -4 + -5y * -4) = -9 + -7(-9 + -1y) -4y + (-36 + 20y) = -9 + -7(-9 + -1y) Reorder the terms: -36 + -4y + 20y = -9 + -7(-9 + -1y) Combine like terms: -4y + 20y = 16y -36 + 16y = -9 + -7(-9 + -1y) -36 + 16y = -9 + (-9 * -7 + -1y * -7) -36 + 16y = -9 + (63 + 7y) Combine like terms: -9 + 63 = 54 -36 + 16y = 54 + 7y Solving -36 + 16y = 54 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -36 + 16y + -7y = 54 + 7y + -7y Combine like terms: 16y + -7y = 9y -36 + 9y = 54 + 7y + -7y Combine like terms: 7y + -7y = 0 -36 + 9y = 54 + 0 -36 + 9y = 54 Add '36' to each side of the equation. -36 + 36 + 9y = 54 + 36 Combine like terms: -36 + 36 = 0 0 + 9y = 54 + 36 9y = 54 + 36 Combine like terms: 54 + 36 = 90 9y = 90 Divide each side by '9'. y = 10 Simplifying y = 10
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