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Simplifying -2(y + 3) = 4y + -8 + 6(2y + 1) Reorder the terms: -2(3 + y) = 4y + -8 + 6(2y + 1) (3 * -2 + y * -2) = 4y + -8 + 6(2y + 1) (-6 + -2y) = 4y + -8 + 6(2y + 1) Reorder the terms: -6 + -2y = 4y + -8 + 6(1 + 2y) -6 + -2y = 4y + -8 + (1 * 6 + 2y * 6) -6 + -2y = 4y + -8 + (6 + 12y) Reorder the terms: -6 + -2y = -8 + 6 + 4y + 12y Combine like terms: -8 + 6 = -2 -6 + -2y = -2 + 4y + 12y Combine like terms: 4y + 12y = 16y -6 + -2y = -2 + 16y Solving -6 + -2y = -2 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. -6 + -2y + -16y = -2 + 16y + -16y Combine like terms: -2y + -16y = -18y -6 + -18y = -2 + 16y + -16y Combine like terms: 16y + -16y = 0 -6 + -18y = -2 + 0 -6 + -18y = -2 Add '6' to each side of the equation. -6 + 6 + -18y = -2 + 6 Combine like terms: -6 + 6 = 0 0 + -18y = -2 + 6 -18y = -2 + 6 Combine like terms: -2 + 6 = 4 -18y = 4 Divide each side by '-18'. y = -0.2222222222 Simplifying y = -0.2222222222
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