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Simplifying -6(-3y + 6) + -4y = 5(y + -8) + -2 Reorder the terms: -6(6 + -3y) + -4y = 5(y + -8) + -2 (6 * -6 + -3y * -6) + -4y = 5(y + -8) + -2 (-36 + 18y) + -4y = 5(y + -8) + -2 Combine like terms: 18y + -4y = 14y -36 + 14y = 5(y + -8) + -2 Reorder the terms: -36 + 14y = 5(-8 + y) + -2 -36 + 14y = (-8 * 5 + y * 5) + -2 -36 + 14y = (-40 + 5y) + -2 Reorder the terms: -36 + 14y = -40 + -2 + 5y Combine like terms: -40 + -2 = -42 -36 + 14y = -42 + 5y Solving -36 + 14y = -42 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -36 + 14y + -5y = -42 + 5y + -5y Combine like terms: 14y + -5y = 9y -36 + 9y = -42 + 5y + -5y Combine like terms: 5y + -5y = 0 -36 + 9y = -42 + 0 -36 + 9y = -42 Add '36' to each side of the equation. -36 + 36 + 9y = -42 + 36 Combine like terms: -36 + 36 = 0 0 + 9y = -42 + 36 9y = -42 + 36 Combine like terms: -42 + 36 = -6 9y = -6 Divide each side by '9'. y = -0.6666666667 Simplifying y = -0.6666666667
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