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Simplifying 5(y + -2) + 1 = 7y + 8 Reorder the terms: 5(-2 + y) + 1 = 7y + 8 (-2 * 5 + y * 5) + 1 = 7y + 8 (-10 + 5y) + 1 = 7y + 8 Reorder the terms: -10 + 1 + 5y = 7y + 8 Combine like terms: -10 + 1 = -9 -9 + 5y = 7y + 8 Reorder the terms: -9 + 5y = 8 + 7y Solving -9 + 5y = 8 + 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. -9 + 5y + -7y = 8 + 7y + -7y Combine like terms: 5y + -7y = -2y -9 + -2y = 8 + 7y + -7y Combine like terms: 7y + -7y = 0 -9 + -2y = 8 + 0 -9 + -2y = 8 Add '9' to each side of the equation. -9 + 9 + -2y = 8 + 9 Combine like terms: -9 + 9 = 0 0 + -2y = 8 + 9 -2y = 8 + 9 Combine like terms: 8 + 9 = 17 -2y = 17 Divide each side by '-2'. y = -8.5 Simplifying y = -8.5
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