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Simplifying 5(3y + 2) + -1(9y + -4) = 2 Reorder the terms: 5(2 + 3y) + -1(9y + -4) = 2 (2 * 5 + 3y * 5) + -1(9y + -4) = 2 (10 + 15y) + -1(9y + -4) = 2 Reorder the terms: 10 + 15y + -1(-4 + 9y) = 2 10 + 15y + (-4 * -1 + 9y * -1) = 2 10 + 15y + (4 + -9y) = 2 Reorder the terms: 10 + 4 + 15y + -9y = 2 Combine like terms: 10 + 4 = 14 14 + 15y + -9y = 2 Combine like terms: 15y + -9y = 6y 14 + 6y = 2 Solving 14 + 6y = 2 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 + 6y = 2 + -14 Combine like terms: 14 + -14 = 0 0 + 6y = 2 + -14 6y = 2 + -14 Combine like terms: 2 + -14 = -12 6y = -12 Divide each side by '6'. y = -2 Simplifying y = -2
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