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Simplifying 5(y + 1) + -1y = 3(y + -1) + 7 Reorder the terms: 5(1 + y) + -1y = 3(y + -1) + 7 (1 * 5 + y * 5) + -1y = 3(y + -1) + 7 (5 + 5y) + -1y = 3(y + -1) + 7 Combine like terms: 5y + -1y = 4y 5 + 4y = 3(y + -1) + 7 Reorder the terms: 5 + 4y = 3(-1 + y) + 7 5 + 4y = (-1 * 3 + y * 3) + 7 5 + 4y = (-3 + 3y) + 7 Reorder the terms: 5 + 4y = -3 + 7 + 3y Combine like terms: -3 + 7 = 4 5 + 4y = 4 + 3y Solving 5 + 4y = 4 + 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. 5 + 4y + -3y = 4 + 3y + -3y Combine like terms: 4y + -3y = 1y 5 + 1y = 4 + 3y + -3y Combine like terms: 3y + -3y = 0 5 + 1y = 4 + 0 5 + 1y = 4 Add '-5' to each side of the equation. 5 + -5 + 1y = 4 + -5 Combine like terms: 5 + -5 = 0 0 + 1y = 4 + -5 1y = 4 + -5 Combine like terms: 4 + -5 = -1 1y = -1 Divide each side by '1'. y = -1 Simplifying y = -1
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