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Simplifying -9(5y + 5) = 3(-7y + 17) Reorder the terms: -9(5 + 5y) = 3(-7y + 17) (5 * -9 + 5y * -9) = 3(-7y + 17) (-45 + -45y) = 3(-7y + 17) Reorder the terms: -45 + -45y = 3(17 + -7y) -45 + -45y = (17 * 3 + -7y * 3) -45 + -45y = (51 + -21y) Solving -45 + -45y = 51 + -21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '21y' to each side of the equation. -45 + -45y + 21y = 51 + -21y + 21y Combine like terms: -45y + 21y = -24y -45 + -24y = 51 + -21y + 21y Combine like terms: -21y + 21y = 0 -45 + -24y = 51 + 0 -45 + -24y = 51 Add '45' to each side of the equation. -45 + 45 + -24y = 51 + 45 Combine like terms: -45 + 45 = 0 0 + -24y = 51 + 45 -24y = 51 + 45 Combine like terms: 51 + 45 = 96 -24y = 96 Divide each side by '-24'. y = -4 Simplifying y = -4
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