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Simplifying 2(8y + 2) = 10y + 3(7y + 3) Reorder the terms: 2(2 + 8y) = 10y + 3(7y + 3) (2 * 2 + 8y * 2) = 10y + 3(7y + 3) (4 + 16y) = 10y + 3(7y + 3) Reorder the terms: 4 + 16y = 10y + 3(3 + 7y) 4 + 16y = 10y + (3 * 3 + 7y * 3) 4 + 16y = 10y + (9 + 21y) Reorder the terms: 4 + 16y = 9 + 10y + 21y Combine like terms: 10y + 21y = 31y 4 + 16y = 9 + 31y Solving 4 + 16y = 9 + 31y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-31y' to each side of the equation. 4 + 16y + -31y = 9 + 31y + -31y Combine like terms: 16y + -31y = -15y 4 + -15y = 9 + 31y + -31y Combine like terms: 31y + -31y = 0 4 + -15y = 9 + 0 4 + -15y = 9 Add '-4' to each side of the equation. 4 + -4 + -15y = 9 + -4 Combine like terms: 4 + -4 = 0 0 + -15y = 9 + -4 -15y = 9 + -4 Combine like terms: 9 + -4 = 5 -15y = 5 Divide each side by '-15'. y = -0.3333333333 Simplifying y = -0.3333333333
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