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Simplifying -3y + -3(9y + 7) = 5 + 9(-9 + -1y) Reorder the terms: -3y + -3(7 + 9y) = 5 + 9(-9 + -1y) -3y + (7 * -3 + 9y * -3) = 5 + 9(-9 + -1y) -3y + (-21 + -27y) = 5 + 9(-9 + -1y) Reorder the terms: -21 + -3y + -27y = 5 + 9(-9 + -1y) Combine like terms: -3y + -27y = -30y -21 + -30y = 5 + 9(-9 + -1y) -21 + -30y = 5 + (-9 * 9 + -1y * 9) -21 + -30y = 5 + (-81 + -9y) Combine like terms: 5 + -81 = -76 -21 + -30y = -76 + -9y Solving -21 + -30y = -76 + -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. -21 + -30y + 9y = -76 + -9y + 9y Combine like terms: -30y + 9y = -21y -21 + -21y = -76 + -9y + 9y Combine like terms: -9y + 9y = 0 -21 + -21y = -76 + 0 -21 + -21y = -76 Add '21' to each side of the equation. -21 + 21 + -21y = -76 + 21 Combine like terms: -21 + 21 = 0 0 + -21y = -76 + 21 -21y = -76 + 21 Combine like terms: -76 + 21 = -55 -21y = -55 Divide each side by '-21'. y = 2.619047619 Simplifying y = 2.619047619
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