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Simplifying 6(y + -1) + -2 = -3(-6y + 4) + -6y Reorder the terms: 6(-1 + y) + -2 = -3(-6y + 4) + -6y (-1 * 6 + y * 6) + -2 = -3(-6y + 4) + -6y (-6 + 6y) + -2 = -3(-6y + 4) + -6y Reorder the terms: -6 + -2 + 6y = -3(-6y + 4) + -6y Combine like terms: -6 + -2 = -8 -8 + 6y = -3(-6y + 4) + -6y Reorder the terms: -8 + 6y = -3(4 + -6y) + -6y -8 + 6y = (4 * -3 + -6y * -3) + -6y -8 + 6y = (-12 + 18y) + -6y Combine like terms: 18y + -6y = 12y -8 + 6y = -12 + 12y Solving -8 + 6y = -12 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -8 + 6y + -12y = -12 + 12y + -12y Combine like terms: 6y + -12y = -6y -8 + -6y = -12 + 12y + -12y Combine like terms: 12y + -12y = 0 -8 + -6y = -12 + 0 -8 + -6y = -12 Add '8' to each side of the equation. -8 + 8 + -6y = -12 + 8 Combine like terms: -8 + 8 = 0 0 + -6y = -12 + 8 -6y = -12 + 8 Combine like terms: -12 + 8 = -4 -6y = -4 Divide each side by '-6'. y = 0.6666666667 Simplifying y = 0.6666666667
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