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Simplifying 8(y + -1) + -1y = 2y + 7 Reorder the terms: 8(-1 + y) + -1y = 2y + 7 (-1 * 8 + y * 8) + -1y = 2y + 7 (-8 + 8y) + -1y = 2y + 7 Combine like terms: 8y + -1y = 7y -8 + 7y = 2y + 7 Reorder the terms: -8 + 7y = 7 + 2y Solving -8 + 7y = 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 + 7y + -2y = 7 + 2y + -2y Combine like terms: 7y + -2y = 5y -8 + 5y = 7 + 2y + -2y Combine like terms: 2y + -2y = 0 -8 + 5y = 7 + 0 -8 + 5y = 7 Add '8' to each side of the equation. -8 + 8 + 5y = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 5y = 7 + 8 5y = 7 + 8 Combine like terms: 7 + 8 = 15 5y = 15 Divide each side by '5'. y = 3 Simplifying y = 3
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