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Simplifying 5(3y + -9) + -2y = 7 Reorder the terms: 5(-9 + 3y) + -2y = 7 (-9 * 5 + 3y * 5) + -2y = 7 (-45 + 15y) + -2y = 7 Combine like terms: 15y + -2y = 13y -45 + 13y = 7 Solving -45 + 13y = 7 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 13y = 7 + 45 Combine like terms: -45 + 45 = 0 0 + 13y = 7 + 45 13y = 7 + 45 Combine like terms: 7 + 45 = 52 13y = 52 Divide each side by '13'. y = 4 Simplifying y = 4
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