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Simplifying 4(4y + 5) = 60 + 5(y + 3) Reorder the terms: 4(5 + 4y) = 60 + 5(y + 3) (5 * 4 + 4y * 4) = 60 + 5(y + 3) (20 + 16y) = 60 + 5(y + 3) Reorder the terms: 20 + 16y = 60 + 5(3 + y) 20 + 16y = 60 + (3 * 5 + y * 5) 20 + 16y = 60 + (15 + 5y) Combine like terms: 60 + 15 = 75 20 + 16y = 75 + 5y Solving 20 + 16y = 75 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 20 + 16y + -5y = 75 + 5y + -5y Combine like terms: 16y + -5y = 11y 20 + 11y = 75 + 5y + -5y Combine like terms: 5y + -5y = 0 20 + 11y = 75 + 0 20 + 11y = 75 Add '-20' to each side of the equation. 20 + -20 + 11y = 75 + -20 Combine like terms: 20 + -20 = 0 0 + 11y = 75 + -20 11y = 75 + -20 Combine like terms: 75 + -20 = 55 11y = 55 Divide each side by '11'. y = 5 Simplifying y = 5
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