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Simplifying -6(-2y + 3) + -6y = 2(y + -4) + -4 Reorder the terms: -6(3 + -2y) + -6y = 2(y + -4) + -4 (3 * -6 + -2y * -6) + -6y = 2(y + -4) + -4 (-18 + 12y) + -6y = 2(y + -4) + -4 Combine like terms: 12y + -6y = 6y -18 + 6y = 2(y + -4) + -4 Reorder the terms: -18 + 6y = 2(-4 + y) + -4 -18 + 6y = (-4 * 2 + y * 2) + -4 -18 + 6y = (-8 + 2y) + -4 Reorder the terms: -18 + 6y = -8 + -4 + 2y Combine like terms: -8 + -4 = -12 -18 + 6y = -12 + 2y Solving -18 + 6y = -12 + 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 + 6y + -2y = -12 + 2y + -2y Combine like terms: 6y + -2y = 4y -18 + 4y = -12 + 2y + -2y Combine like terms: 2y + -2y = 0 -18 + 4y = -12 + 0 -18 + 4y = -12 Add '18' to each side of the equation. -18 + 18 + 4y = -12 + 18 Combine like terms: -18 + 18 = 0 0 + 4y = -12 + 18 4y = -12 + 18 Combine like terms: -12 + 18 = 6 4y = 6 Divide each side by '4'. y = 1.5 Simplifying y = 1.5
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