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Simplifying 6(5 + -2y) + -5(y + 3) = 0 (5 * 6 + -2y * 6) + -5(y + 3) = 0 (30 + -12y) + -5(y + 3) = 0 Reorder the terms: 30 + -12y + -5(3 + y) = 0 30 + -12y + (3 * -5 + y * -5) = 0 30 + -12y + (-15 + -5y) = 0 Reorder the terms: 30 + -15 + -12y + -5y = 0 Combine like terms: 30 + -15 = 15 15 + -12y + -5y = 0 Combine like terms: -12y + -5y = -17y 15 + -17y = 0 Solving 15 + -17y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -17y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -17y = 0 + -15 -17y = 0 + -15 Combine like terms: 0 + -15 = -15 -17y = -15 Divide each side by '-17'. y = 0.8823529412 Simplifying y = 0.8823529412
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