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Simplifying 5(5y + 1) = 16 + -1(4y + -5) + 13y Reorder the terms: 5(1 + 5y) = 16 + -1(4y + -5) + 13y (1 * 5 + 5y * 5) = 16 + -1(4y + -5) + 13y (5 + 25y) = 16 + -1(4y + -5) + 13y Reorder the terms: 5 + 25y = 16 + -1(-5 + 4y) + 13y 5 + 25y = 16 + (-5 * -1 + 4y * -1) + 13y 5 + 25y = 16 + (5 + -4y) + 13y Combine like terms: 16 + 5 = 21 5 + 25y = 21 + -4y + 13y Combine like terms: -4y + 13y = 9y 5 + 25y = 21 + 9y Solving 5 + 25y = 21 + 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 + 25y + -9y = 21 + 9y + -9y Combine like terms: 25y + -9y = 16y 5 + 16y = 21 + 9y + -9y Combine like terms: 9y + -9y = 0 5 + 16y = 21 + 0 5 + 16y = 21 Add '-5' to each side of the equation. 5 + -5 + 16y = 21 + -5 Combine like terms: 5 + -5 = 0 0 + 16y = 21 + -5 16y = 21 + -5 Combine like terms: 21 + -5 = 16 16y = 16 Divide each side by '16'. y = 1 Simplifying y = 1
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