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Simplifying 2(y + 5) + 3(4y) = 52 Reorder the terms: 2(5 + y) + 3(4y) = 52 (5 * 2 + y * 2) + 3(4y) = 52 (10 + 2y) + 3(4y) = 52 Remove parenthesis around (4y) 10 + 2y + 3 * 4y = 52 Multiply 3 * 4 10 + 2y + 12y = 52 Combine like terms: 2y + 12y = 14y 10 + 14y = 52 Solving 10 + 14y = 52 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 14y = 52 + -10 Combine like terms: 10 + -10 = 0 0 + 14y = 52 + -10 14y = 52 + -10 Combine like terms: 52 + -10 = 42 14y = 42 Divide each side by '14'. y = 3 Simplifying y = 3
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