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Simplifying 5(1 + -1y) + 7y = 3(y + 2) (1 * 5 + -1y * 5) + 7y = 3(y + 2) (5 + -5y) + 7y = 3(y + 2) Combine like terms: -5y + 7y = 2y 5 + 2y = 3(y + 2) Reorder the terms: 5 + 2y = 3(2 + y) 5 + 2y = (2 * 3 + y * 3) 5 + 2y = (6 + 3y) Solving 5 + 2y = 6 + 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 + 2y + -3y = 6 + 3y + -3y Combine like terms: 2y + -3y = -1y 5 + -1y = 6 + 3y + -3y Combine like terms: 3y + -3y = 0 5 + -1y = 6 + 0 5 + -1y = 6 Add '-5' to each side of the equation. 5 + -5 + -1y = 6 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 6 + -5 -1y = 6 + -5 Combine like terms: 6 + -5 = 1 -1y = 1 Divide each side by '-1'. y = -1 Simplifying y = -1
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