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Simplifying 5(y + 1) = 3(3y + 4) Reorder the terms: 5(1 + y) = 3(3y + 4) (1 * 5 + y * 5) = 3(3y + 4) (5 + 5y) = 3(3y + 4) Reorder the terms: 5 + 5y = 3(4 + 3y) 5 + 5y = (4 * 3 + 3y * 3) 5 + 5y = (12 + 9y) Solving 5 + 5y = 12 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 5 + 5y + -9y = 12 + 9y + -9y Combine like terms: 5y + -9y = -4y 5 + -4y = 12 + 9y + -9y Combine like terms: 9y + -9y = 0 5 + -4y = 12 + 0 5 + -4y = 12 Add '-5' to each side of the equation. 5 + -5 + -4y = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -4y = 12 + -5 -4y = 12 + -5 Combine like terms: 12 + -5 = 7 -4y = 7 Divide each side by '-4'. y = -1.75 Simplifying y = -1.75
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