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Simplifying 15(y + -4) + -2(y + -9) + (y + 6) = 0 Reorder the terms: 15(-4 + y) + -2(y + -9) + (y + 6) = 0 (-4 * 15 + y * 15) + -2(y + -9) + (y + 6) = 0 (-60 + 15y) + -2(y + -9) + (y + 6) = 0 Reorder the terms: -60 + 15y + -2(-9 + y) + (y + 6) = 0 -60 + 15y + (-9 * -2 + y * -2) + (y + 6) = 0 -60 + 15y + (18 + -2y) + (y + 6) = 0 Reorder the terms: -60 + 15y + 18 + -2y + (6 + y) = 0 Remove parenthesis around (6 + y) -60 + 15y + 18 + -2y + 6 + y = 0 Reorder the terms: -60 + 18 + 6 + 15y + -2y + y = 0 Combine like terms: -60 + 18 = -42 -42 + 6 + 15y + -2y + y = 0 Combine like terms: -42 + 6 = -36 -36 + 15y + -2y + y = 0 Combine like terms: 15y + -2y = 13y -36 + 13y + y = 0 Combine like terms: 13y + y = 14y -36 + 14y = 0 Solving -36 + 14y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 14y = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 14y = 0 + 36 14y = 0 + 36 Combine like terms: 0 + 36 = 36 14y = 36 Divide each side by '14'. y = 2.571428571 Simplifying y = 2.571428571
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