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Simplifying 3(2y + 3) = 2(5y) + 1 Reorder the terms: 3(3 + 2y) = 2(5y) + 1 (3 * 3 + 2y * 3) = 2(5y) + 1 (9 + 6y) = 2(5y) + 1 Remove parenthesis around (5y) 9 + 6y = 2 * 5y + 1 Multiply 2 * 5 9 + 6y = 10y + 1 Reorder the terms: 9 + 6y = 1 + 10y Solving 9 + 6y = 1 + 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 = 1 + 10y + -10y Combine like terms: 6y + -10y = -4y 9 + -4y = 1 + 10y + -10y Combine like terms: 10y + -10y = 0 9 + -4y = 1 + 0 9 + -4y = 1 Add '-9' to each side of the equation. 9 + -9 + -4y = 1 + -9 Combine like terms: 9 + -9 = 0 0 + -4y = 1 + -9 -4y = 1 + -9 Combine like terms: 1 + -9 = -8 -4y = -8 Divide each side by '-4'. y = 2 Simplifying y = 2
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