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Simplifying y + -8(y + -7) = (-9y + 2) + -7 Reorder the terms: y + -8(-7 + y) = (-9y + 2) + -7 y + (-7 * -8 + y * -8) = (-9y + 2) + -7 y + (56 + -8y) = (-9y + 2) + -7 Reorder the terms: 56 + y + -8y = (-9y + 2) + -7 Combine like terms: y + -8y = -7y 56 + -7y = (-9y + 2) + -7 Reorder the terms: 56 + -7y = (2 + -9y) + -7 Remove parenthesis around (2 + -9y) 56 + -7y = 2 + -9y + -7 Reorder the terms: 56 + -7y = 2 + -7 + -9y Combine like terms: 2 + -7 = -5 56 + -7y = -5 + -9y Solving 56 + -7y = -5 + -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. 56 + -7y + 9y = -5 + -9y + 9y Combine like terms: -7y + 9y = 2y 56 + 2y = -5 + -9y + 9y Combine like terms: -9y + 9y = 0 56 + 2y = -5 + 0 56 + 2y = -5 Add '-56' to each side of the equation. 56 + -56 + 2y = -5 + -56 Combine like terms: 56 + -56 = 0 0 + 2y = -5 + -56 2y = -5 + -56 Combine like terms: -5 + -56 = -61 2y = -61 Divide each side by '2'. y = -30.5 Simplifying y = -30.5
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