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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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