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Simplifying 6(y + -3) + -2 = -5(-6y + 2) + -9y Reorder the terms: 6(-3 + y) + -2 = -5(-6y + 2) + -9y (-3 * 6 + y * 6) + -2 = -5(-6y + 2) + -9y (-18 + 6y) + -2 = -5(-6y + 2) + -9y Reorder the terms: -18 + -2 + 6y = -5(-6y + 2) + -9y Combine like terms: -18 + -2 = -20 -20 + 6y = -5(-6y + 2) + -9y Reorder the terms: -20 + 6y = -5(2 + -6y) + -9y -20 + 6y = (2 * -5 + -6y * -5) + -9y -20 + 6y = (-10 + 30y) + -9y Combine like terms: 30y + -9y = 21y -20 + 6y = -10 + 21y Solving -20 + 6y = -10 + 21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-21y' to each side of the equation. -20 + 6y + -21y = -10 + 21y + -21y Combine like terms: 6y + -21y = -15y -20 + -15y = -10 + 21y + -21y Combine like terms: 21y + -21y = 0 -20 + -15y = -10 + 0 -20 + -15y = -10 Add '20' to each side of the equation. -20 + 20 + -15y = -10 + 20 Combine like terms: -20 + 20 = 0 0 + -15y = -10 + 20 -15y = -10 + 20 Combine like terms: -10 + 20 = 10 -15y = 10 Divide each side by '-15'. y = -0.6666666667 Simplifying y = -0.6666666667
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