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Simplifying -4y + 3(2y + -7) = -1 + -8(-9 + -1y) Reorder the terms: -4y + 3(-7 + 2y) = -1 + -8(-9 + -1y) -4y + (-7 * 3 + 2y * 3) = -1 + -8(-9 + -1y) -4y + (-21 + 6y) = -1 + -8(-9 + -1y) Reorder the terms: -21 + -4y + 6y = -1 + -8(-9 + -1y) Combine like terms: -4y + 6y = 2y -21 + 2y = -1 + -8(-9 + -1y) -21 + 2y = -1 + (-9 * -8 + -1y * -8) -21 + 2y = -1 + (72 + 8y) Combine like terms: -1 + 72 = 71 -21 + 2y = 71 + 8y Solving -21 + 2y = 71 + 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. -21 + 2y + -8y = 71 + 8y + -8y Combine like terms: 2y + -8y = -6y -21 + -6y = 71 + 8y + -8y Combine like terms: 8y + -8y = 0 -21 + -6y = 71 + 0 -21 + -6y = 71 Add '21' to each side of the equation. -21 + 21 + -6y = 71 + 21 Combine like terms: -21 + 21 = 0 0 + -6y = 71 + 21 -6y = 71 + 21 Combine like terms: 71 + 21 = 92 -6y = 92 Divide each side by '-6'. y = -15.33333333 Simplifying y = -15.33333333
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