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Simplifying 5(2y + 3) + (5y + -2) = 84 Reorder the terms: 5(3 + 2y) + (5y + -2) = 84 (3 * 5 + 2y * 5) + (5y + -2) = 84 (15 + 10y) + (5y + -2) = 84 Reorder the terms: 15 + 10y + (-2 + 5y) = 84 Remove parenthesis around (-2 + 5y) 15 + 10y + -2 + 5y = 84 Reorder the terms: 15 + -2 + 10y + 5y = 84 Combine like terms: 15 + -2 = 13 13 + 10y + 5y = 84 Combine like terms: 10y + 5y = 15y 13 + 15y = 84 Solving 13 + 15y = 84 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 15y = 84 + -13 Combine like terms: 13 + -13 = 0 0 + 15y = 84 + -13 15y = 84 + -13 Combine like terms: 84 + -13 = 71 15y = 71 Divide each side by '15'. y = 4.733333333 Simplifying y = 4.733333333
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