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Simplifying (y + -8) + -1(y + 8) = 7y Reorder the terms: (-8 + y) + -1(y + 8) = 7y Remove parenthesis around (-8 + y) -8 + y + -1(y + 8) = 7y Reorder the terms: -8 + y + -1(8 + y) = 7y -8 + y + (8 * -1 + y * -1) = 7y -8 + y + (-8 + -1y) = 7y Reorder the terms: -8 + -8 + y + -1y = 7y Combine like terms: -8 + -8 = -16 -16 + y + -1y = 7y Combine like terms: y + -1y = 0 -16 + 0 = 7y -16 = 7y Solving -16 = 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -16 + -7y = 7y + -7y Combine like terms: 7y + -7y = 0 -16 + -7y = 0 Add '16' to each side of the equation. -16 + 16 + -7y = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -7y = 0 + 16 -7y = 0 + 16 Combine like terms: 0 + 16 = 16 -7y = 16 Divide each side by '-7'. y = -2.285714286 Simplifying y = -2.285714286
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