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Simplifying 15(y + -4) + -2(y + -9) + 5(y + 6) = 0 Reorder the terms: 15(-4 + y) + -2(y + -9) + 5(y + 6) = 0 (-4 * 15 + y * 15) + -2(y + -9) + 5(y + 6) = 0 (-60 + 15y) + -2(y + -9) + 5(y + 6) = 0 Reorder the terms: -60 + 15y + -2(-9 + y) + 5(y + 6) = 0 -60 + 15y + (-9 * -2 + y * -2) + 5(y + 6) = 0 -60 + 15y + (18 + -2y) + 5(y + 6) = 0 Reorder the terms: -60 + 15y + 18 + -2y + 5(6 + y) = 0 -60 + 15y + 18 + -2y + (6 * 5 + y * 5) = 0 -60 + 15y + 18 + -2y + (30 + 5y) = 0 Reorder the terms: -60 + 18 + 30 + 15y + -2y + 5y = 0 Combine like terms: -60 + 18 = -42 -42 + 30 + 15y + -2y + 5y = 0 Combine like terms: -42 + 30 = -12 -12 + 15y + -2y + 5y = 0 Combine like terms: 15y + -2y = 13y -12 + 13y + 5y = 0 Combine like terms: 13y + 5y = 18y -12 + 18y = 0 Solving -12 + 18y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 18y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 18y = 0 + 12 18y = 0 + 12 Combine like terms: 0 + 12 = 12 18y = 12 Divide each side by '18'. y = 0.6666666667 Simplifying y = 0.6666666667
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