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Simplifying 5y + 8 = y + -1(7 + -1y) Reorder the terms: 8 + 5y = y + -1(7 + -1y) 8 + 5y = y + (7 * -1 + -1y * -1) 8 + 5y = y + (-7 + 1y) Reorder the terms: 8 + 5y = -7 + y + 1y Combine like terms: y + 1y = 2y 8 + 5y = -7 + 2y Solving 8 + 5y = -7 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 8 + 5y + -2y = -7 + 2y + -2y Combine like terms: 5y + -2y = 3y 8 + 3y = -7 + 2y + -2y Combine like terms: 2y + -2y = 0 8 + 3y = -7 + 0 8 + 3y = -7 Add '-8' to each side of the equation. 8 + -8 + 3y = -7 + -8 Combine like terms: 8 + -8 = 0 0 + 3y = -7 + -8 3y = -7 + -8 Combine like terms: -7 + -8 = -15 3y = -15 Divide each side by '3'. y = -5 Simplifying y = -5
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