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Simplifying 5(y + 3) = 9y + -13 Reorder the terms: 5(3 + y) = 9y + -13 (3 * 5 + y * 5) = 9y + -13 (15 + 5y) = 9y + -13 Reorder the terms: 15 + 5y = -13 + 9y Solving 15 + 5y = -13 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 15 + 5y + -9y = -13 + 9y + -9y Combine like terms: 5y + -9y = -4y 15 + -4y = -13 + 9y + -9y Combine like terms: 9y + -9y = 0 15 + -4y = -13 + 0 15 + -4y = -13 Add '-15' to each side of the equation. 15 + -15 + -4y = -13 + -15 Combine like terms: 15 + -15 = 0 0 + -4y = -13 + -15 -4y = -13 + -15 Combine like terms: -13 + -15 = -28 -4y = -28 Divide each side by '-4'. y = 7 Simplifying y = 7
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