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Simplifying -5(y + -6) + -2(y + 3) = 30 Reorder the terms: -5(-6 + y) + -2(y + 3) = 30 (-6 * -5 + y * -5) + -2(y + 3) = 30 (30 + -5y) + -2(y + 3) = 30 Reorder the terms: 30 + -5y + -2(3 + y) = 30 30 + -5y + (3 * -2 + y * -2) = 30 30 + -5y + (-6 + -2y) = 30 Reorder the terms: 30 + -6 + -5y + -2y = 30 Combine like terms: 30 + -6 = 24 24 + -5y + -2y = 30 Combine like terms: -5y + -2y = -7y 24 + -7y = 30 Solving 24 + -7y = 30 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -7y = 30 + -24 Combine like terms: 24 + -24 = 0 0 + -7y = 30 + -24 -7y = 30 + -24 Combine like terms: 30 + -24 = 6 -7y = 6 Divide each side by '-7'. y = -0.8571428571 Simplifying y = -0.8571428571
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