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Simplifying 6(y + 3) = -2(6y + -4) + 6y Reorder the terms: 6(3 + y) = -2(6y + -4) + 6y (3 * 6 + y * 6) = -2(6y + -4) + 6y (18 + 6y) = -2(6y + -4) + 6y Reorder the terms: 18 + 6y = -2(-4 + 6y) + 6y 18 + 6y = (-4 * -2 + 6y * -2) + 6y 18 + 6y = (8 + -12y) + 6y Combine like terms: -12y + 6y = -6y 18 + 6y = 8 + -6y Solving 18 + 6y = 8 + -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. 18 + 6y + 6y = 8 + -6y + 6y Combine like terms: 6y + 6y = 12y 18 + 12y = 8 + -6y + 6y Combine like terms: -6y + 6y = 0 18 + 12y = 8 + 0 18 + 12y = 8 Add '-18' to each side of the equation. 18 + -18 + 12y = 8 + -18 Combine like terms: 18 + -18 = 0 0 + 12y = 8 + -18 12y = 8 + -18 Combine like terms: 8 + -18 = -10 12y = -10 Divide each side by '12'. y = -0.8333333333 Simplifying y = -0.8333333333
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