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Simplifying 15(y + -4) + -2(y + -9) + 5(y + 6) = 6 Reorder the terms: 15(-4 + y) + -2(y + -9) + 5(y + 6) = 6 (-4 * 15 + y * 15) + -2(y + -9) + 5(y + 6) = 6 (-60 + 15y) + -2(y + -9) + 5(y + 6) = 6 Reorder the terms: -60 + 15y + -2(-9 + y) + 5(y + 6) = 6 -60 + 15y + (-9 * -2 + y * -2) + 5(y + 6) = 6 -60 + 15y + (18 + -2y) + 5(y + 6) = 6 Reorder the terms: -60 + 15y + 18 + -2y + 5(6 + y) = 6 -60 + 15y + 18 + -2y + (6 * 5 + y * 5) = 6 -60 + 15y + 18 + -2y + (30 + 5y) = 6 Reorder the terms: -60 + 18 + 30 + 15y + -2y + 5y = 6 Combine like terms: -60 + 18 = -42 -42 + 30 + 15y + -2y + 5y = 6 Combine like terms: -42 + 30 = -12 -12 + 15y + -2y + 5y = 6 Combine like terms: 15y + -2y = 13y -12 + 13y + 5y = 6 Combine like terms: 13y + 5y = 18y -12 + 18y = 6 Solving -12 + 18y = 6 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 = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 18y = 6 + 12 18y = 6 + 12 Combine like terms: 6 + 12 = 18 18y = 18 Divide each side by '18'. y = 1 Simplifying y = 1
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