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Simplifying 5(2y + 1) + -3(y + -3) = 63 Reorder the terms: 5(1 + 2y) + -3(y + -3) = 63 (1 * 5 + 2y * 5) + -3(y + -3) = 63 (5 + 10y) + -3(y + -3) = 63 Reorder the terms: 5 + 10y + -3(-3 + y) = 63 5 + 10y + (-3 * -3 + y * -3) = 63 5 + 10y + (9 + -3y) = 63 Reorder the terms: 5 + 9 + 10y + -3y = 63 Combine like terms: 5 + 9 = 14 14 + 10y + -3y = 63 Combine like terms: 10y + -3y = 7y 14 + 7y = 63 Solving 14 + 7y = 63 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 7y = 63 + -14 Combine like terms: 14 + -14 = 0 0 + 7y = 63 + -14 7y = 63 + -14 Combine like terms: 63 + -14 = 49 7y = 49 Divide each side by '7'. y = 7 Simplifying y = 7
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