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Simplifying -4y + -3(-7y + -3) = -7 + -8(1 + -1y) Reorder the terms: -4y + -3(-3 + -7y) = -7 + -8(1 + -1y) -4y + (-3 * -3 + -7y * -3) = -7 + -8(1 + -1y) -4y + (9 + 21y) = -7 + -8(1 + -1y) Reorder the terms: 9 + -4y + 21y = -7 + -8(1 + -1y) Combine like terms: -4y + 21y = 17y 9 + 17y = -7 + -8(1 + -1y) 9 + 17y = -7 + (1 * -8 + -1y * -8) 9 + 17y = -7 + (-8 + 8y) Combine like terms: -7 + -8 = -15 9 + 17y = -15 + 8y Solving 9 + 17y = -15 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 9 + 17y + -8y = -15 + 8y + -8y Combine like terms: 17y + -8y = 9y 9 + 9y = -15 + 8y + -8y Combine like terms: 8y + -8y = 0 9 + 9y = -15 + 0 9 + 9y = -15 Add '-9' to each side of the equation. 9 + -9 + 9y = -15 + -9 Combine like terms: 9 + -9 = 0 0 + 9y = -15 + -9 9y = -15 + -9 Combine like terms: -15 + -9 = -24 9y = -24 Divide each side by '9'. y = -2.666666667 Simplifying y = -2.666666667
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