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Simplifying 5(5y + 5) + 10 = 4(4y + 2) + 16 Reorder the terms: 5(5 + 5y) + 10 = 4(4y + 2) + 16 (5 * 5 + 5y * 5) + 10 = 4(4y + 2) + 16 (25 + 25y) + 10 = 4(4y + 2) + 16 Reorder the terms: 25 + 10 + 25y = 4(4y + 2) + 16 Combine like terms: 25 + 10 = 35 35 + 25y = 4(4y + 2) + 16 Reorder the terms: 35 + 25y = 4(2 + 4y) + 16 35 + 25y = (2 * 4 + 4y * 4) + 16 35 + 25y = (8 + 16y) + 16 Reorder the terms: 35 + 25y = 8 + 16 + 16y Combine like terms: 8 + 16 = 24 35 + 25y = 24 + 16y Solving 35 + 25y = 24 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. 35 + 25y + -16y = 24 + 16y + -16y Combine like terms: 25y + -16y = 9y 35 + 9y = 24 + 16y + -16y Combine like terms: 16y + -16y = 0 35 + 9y = 24 + 0 35 + 9y = 24 Add '-35' to each side of the equation. 35 + -35 + 9y = 24 + -35 Combine like terms: 35 + -35 = 0 0 + 9y = 24 + -35 9y = 24 + -35 Combine like terms: 24 + -35 = -11 9y = -11 Divide each side by '9'. y = -1.222222222 Simplifying y = -1.222222222
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