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Simplifying -6(-3y + 4) + -6y = 6(y + -4) + -4 Reorder the terms: -6(4 + -3y) + -6y = 6(y + -4) + -4 (4 * -6 + -3y * -6) + -6y = 6(y + -4) + -4 (-24 + 18y) + -6y = 6(y + -4) + -4 Combine like terms: 18y + -6y = 12y -24 + 12y = 6(y + -4) + -4 Reorder the terms: -24 + 12y = 6(-4 + y) + -4 -24 + 12y = (-4 * 6 + y * 6) + -4 -24 + 12y = (-24 + 6y) + -4 Reorder the terms: -24 + 12y = -24 + -4 + 6y Combine like terms: -24 + -4 = -28 -24 + 12y = -28 + 6y Solving -24 + 12y = -28 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -24 + 12y + -6y = -28 + 6y + -6y Combine like terms: 12y + -6y = 6y -24 + 6y = -28 + 6y + -6y Combine like terms: 6y + -6y = 0 -24 + 6y = -28 + 0 -24 + 6y = -28 Add '24' to each side of the equation. -24 + 24 + 6y = -28 + 24 Combine like terms: -24 + 24 = 0 0 + 6y = -28 + 24 6y = -28 + 24 Combine like terms: -28 + 24 = -4 6y = -4 Divide each side by '6'. y = -0.6666666667 Simplifying y = -0.6666666667
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