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Simplifying 5(y + 1) = 2(3y + 4) Reorder the terms: 5(1 + y) = 2(3y + 4) (1 * 5 + y * 5) = 2(3y + 4) (5 + 5y) = 2(3y + 4) Reorder the terms: 5 + 5y = 2(4 + 3y) 5 + 5y = (4 * 2 + 3y * 2) 5 + 5y = (8 + 6y) Solving 5 + 5y = 8 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 5 + 5y + -6y = 8 + 6y + -6y Combine like terms: 5y + -6y = -1y 5 + -1y = 8 + 6y + -6y Combine like terms: 6y + -6y = 0 5 + -1y = 8 + 0 5 + -1y = 8 Add '-5' to each side of the equation. 5 + -5 + -1y = 8 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 8 + -5 -1y = 8 + -5 Combine like terms: 8 + -5 = 3 -1y = 3 Divide each side by '-1'. y = -3 Simplifying y = -3
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