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Simplifying 5(2y + 3) + 3(5y + -2) = 84 Reorder the terms: 5(3 + 2y) + 3(5y + -2) = 84 (3 * 5 + 2y * 5) + 3(5y + -2) = 84 (15 + 10y) + 3(5y + -2) = 84 Reorder the terms: 15 + 10y + 3(-2 + 5y) = 84 15 + 10y + (-2 * 3 + 5y * 3) = 84 15 + 10y + (-6 + 15y) = 84 Reorder the terms: 15 + -6 + 10y + 15y = 84 Combine like terms: 15 + -6 = 9 9 + 10y + 15y = 84 Combine like terms: 10y + 15y = 25y 9 + 25y = 84 Solving 9 + 25y = 84 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 25y = 84 + -9 Combine like terms: 9 + -9 = 0 0 + 25y = 84 + -9 25y = 84 + -9 Combine like terms: 84 + -9 = 75 25y = 75 Divide each side by '25'. y = 3 Simplifying y = 3
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