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Simplifying -1(y + 5) + -1(2 + 7y) + 8y = 3y + -8 Reorder the terms: -1(5 + y) + -1(2 + 7y) + 8y = 3y + -8 (5 * -1 + y * -1) + -1(2 + 7y) + 8y = 3y + -8 (-5 + -1y) + -1(2 + 7y) + 8y = 3y + -8 -5 + -1y + (2 * -1 + 7y * -1) + 8y = 3y + -8 -5 + -1y + (-2 + -7y) + 8y = 3y + -8 Reorder the terms: -5 + -2 + -1y + -7y + 8y = 3y + -8 Combine like terms: -5 + -2 = -7 -7 + -1y + -7y + 8y = 3y + -8 Combine like terms: -1y + -7y = -8y -7 + -8y + 8y = 3y + -8 Combine like terms: -8y + 8y = 0 -7 + 0 = 3y + -8 -7 = 3y + -8 Reorder the terms: -7 = -8 + 3y Solving -7 = -8 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -7 + -3y = -8 + 3y + -3y Combine like terms: 3y + -3y = 0 -7 + -3y = -8 + 0 -7 + -3y = -8 Add '7' to each side of the equation. -7 + 7 + -3y = -8 + 7 Combine like terms: -7 + 7 = 0 0 + -3y = -8 + 7 -3y = -8 + 7 Combine like terms: -8 + 7 = -1 -3y = -1 Divide each side by '-3'. y = 0.3333333333 Simplifying y = 0.3333333333
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