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Simplifying 3(2y + 3) = 5(2y + 1) Reorder the terms: 3(3 + 2y) = 5(2y + 1) (3 * 3 + 2y * 3) = 5(2y + 1) (9 + 6y) = 5(2y + 1) Reorder the terms: 9 + 6y = 5(1 + 2y) 9 + 6y = (1 * 5 + 2y * 5) 9 + 6y = (5 + 10y) Solving 9 + 6y = 5 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 9 + 6y + -10y = 5 + 10y + -10y Combine like terms: 6y + -10y = -4y 9 + -4y = 5 + 10y + -10y Combine like terms: 10y + -10y = 0 9 + -4y = 5 + 0 9 + -4y = 5 Add '-9' to each side of the equation. 9 + -9 + -4y = 5 + -9 Combine like terms: 9 + -9 = 0 0 + -4y = 5 + -9 -4y = 5 + -9 Combine like terms: 5 + -9 = -4 -4y = -4 Divide each side by '-4'. y = 1 Simplifying y = 1
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