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Simplifying 3(y + 15) + (4y + -15) = 0 Reorder the terms: 3(15 + y) + (4y + -15) = 0 (15 * 3 + y * 3) + (4y + -15) = 0 (45 + 3y) + (4y + -15) = 0 Reorder the terms: 45 + 3y + (-15 + 4y) = 0 Remove parenthesis around (-15 + 4y) 45 + 3y + -15 + 4y = 0 Reorder the terms: 45 + -15 + 3y + 4y = 0 Combine like terms: 45 + -15 = 30 30 + 3y + 4y = 0 Combine like terms: 3y + 4y = 7y 30 + 7y = 0 Solving 30 + 7y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 7y = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 7y = 0 + -30 7y = 0 + -30 Combine like terms: 0 + -30 = -30 7y = -30 Divide each side by '7'. y = -4.285714286 Simplifying y = -4.285714286
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