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Simplifying 15(y + -4) + -2(y + -9) + 15(y + 6) = 0 Reorder the terms: 15(-4 + y) + -2(y + -9) + 15(y + 6) = 0 (-4 * 15 + y * 15) + -2(y + -9) + 15(y + 6) = 0 (-60 + 15y) + -2(y + -9) + 15(y + 6) = 0 Reorder the terms: -60 + 15y + -2(-9 + y) + 15(y + 6) = 0 -60 + 15y + (-9 * -2 + y * -2) + 15(y + 6) = 0 -60 + 15y + (18 + -2y) + 15(y + 6) = 0 Reorder the terms: -60 + 15y + 18 + -2y + 15(6 + y) = 0 -60 + 15y + 18 + -2y + (6 * 15 + y * 15) = 0 -60 + 15y + 18 + -2y + (90 + 15y) = 0 Reorder the terms: -60 + 18 + 90 + 15y + -2y + 15y = 0 Combine like terms: -60 + 18 = -42 -42 + 90 + 15y + -2y + 15y = 0 Combine like terms: -42 + 90 = 48 48 + 15y + -2y + 15y = 0 Combine like terms: 15y + -2y = 13y 48 + 13y + 15y = 0 Combine like terms: 13y + 15y = 28y 48 + 28y = 0 Solving 48 + 28y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 28y = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 28y = 0 + -48 28y = 0 + -48 Combine like terms: 0 + -48 = -48 28y = -48 Divide each side by '28'. y = -1.714285714 Simplifying y = -1.714285714
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