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Simplifying -6(-2y + 3) + -4y = 2(y + -6) + -2 Reorder the terms: -6(3 + -2y) + -4y = 2(y + -6) + -2 (3 * -6 + -2y * -6) + -4y = 2(y + -6) + -2 (-18 + 12y) + -4y = 2(y + -6) + -2 Combine like terms: 12y + -4y = 8y -18 + 8y = 2(y + -6) + -2 Reorder the terms: -18 + 8y = 2(-6 + y) + -2 -18 + 8y = (-6 * 2 + y * 2) + -2 -18 + 8y = (-12 + 2y) + -2 Reorder the terms: -18 + 8y = -12 + -2 + 2y Combine like terms: -12 + -2 = -14 -18 + 8y = -14 + 2y Solving -18 + 8y = -14 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -18 + 8y + -2y = -14 + 2y + -2y Combine like terms: 8y + -2y = 6y -18 + 6y = -14 + 2y + -2y Combine like terms: 2y + -2y = 0 -18 + 6y = -14 + 0 -18 + 6y = -14 Add '18' to each side of the equation. -18 + 18 + 6y = -14 + 18 Combine like terms: -18 + 18 = 0 0 + 6y = -14 + 18 6y = -14 + 18 Combine like terms: -14 + 18 = 4 6y = 4 Divide each side by '6'. y = 0.6666666667 Simplifying y = 0.6666666667
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