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Simplifying 5(y + 1) = 4(3y + 4) Reorder the terms: 5(1 + y) = 4(3y + 4) (1 * 5 + y * 5) = 4(3y + 4) (5 + 5y) = 4(3y + 4) Reorder the terms: 5 + 5y = 4(4 + 3y) 5 + 5y = (4 * 4 + 3y * 4) 5 + 5y = (16 + 12y) Solving 5 + 5y = 16 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 5 + 5y + -12y = 16 + 12y + -12y Combine like terms: 5y + -12y = -7y 5 + -7y = 16 + 12y + -12y Combine like terms: 12y + -12y = 0 5 + -7y = 16 + 0 5 + -7y = 16 Add '-5' to each side of the equation. 5 + -5 + -7y = 16 + -5 Combine like terms: 5 + -5 = 0 0 + -7y = 16 + -5 -7y = 16 + -5 Combine like terms: 16 + -5 = 11 -7y = 11 Divide each side by '-7'. y = -1.571428571 Simplifying y = -1.571428571
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