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Simplifying 2(3y + 5) = 3(5y + 3) Reorder the terms: 2(5 + 3y) = 3(5y + 3) (5 * 2 + 3y * 2) = 3(5y + 3) (10 + 6y) = 3(5y + 3) Reorder the terms: 10 + 6y = 3(3 + 5y) 10 + 6y = (3 * 3 + 5y * 3) 10 + 6y = (9 + 15y) Solving 10 + 6y = 9 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 10 + 6y + -15y = 9 + 15y + -15y Combine like terms: 6y + -15y = -9y 10 + -9y = 9 + 15y + -15y Combine like terms: 15y + -15y = 0 10 + -9y = 9 + 0 10 + -9y = 9 Add '-10' to each side of the equation. 10 + -10 + -9y = 9 + -10 Combine like terms: 10 + -10 = 0 0 + -9y = 9 + -10 -9y = 9 + -10 Combine like terms: 9 + -10 = -1 -9y = -1 Divide each side by '-9'. y = 0.1111111111 Simplifying y = 0.1111111111
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