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Simplifying -5y + 7(3y + -1) = 1 + -9(-1 + -1y) Reorder the terms: -5y + 7(-1 + 3y) = 1 + -9(-1 + -1y) -5y + (-1 * 7 + 3y * 7) = 1 + -9(-1 + -1y) -5y + (-7 + 21y) = 1 + -9(-1 + -1y) Reorder the terms: -7 + -5y + 21y = 1 + -9(-1 + -1y) Combine like terms: -5y + 21y = 16y -7 + 16y = 1 + -9(-1 + -1y) -7 + 16y = 1 + (-1 * -9 + -1y * -9) -7 + 16y = 1 + (9 + 9y) Combine like terms: 1 + 9 = 10 -7 + 16y = 10 + 9y Solving -7 + 16y = 10 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -7 + 16y + -9y = 10 + 9y + -9y Combine like terms: 16y + -9y = 7y -7 + 7y = 10 + 9y + -9y Combine like terms: 9y + -9y = 0 -7 + 7y = 10 + 0 -7 + 7y = 10 Add '7' to each side of the equation. -7 + 7 + 7y = 10 + 7 Combine like terms: -7 + 7 = 0 0 + 7y = 10 + 7 7y = 10 + 7 Combine like terms: 10 + 7 = 17 7y = 17 Divide each side by '7'. y = 2.428571429 Simplifying y = 2.428571429
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