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Simplifying -2(y + 2) = 6y + -8 + 2(5y + 8) Reorder the terms: -2(2 + y) = 6y + -8 + 2(5y + 8) (2 * -2 + y * -2) = 6y + -8 + 2(5y + 8) (-4 + -2y) = 6y + -8 + 2(5y + 8) Reorder the terms: -4 + -2y = 6y + -8 + 2(8 + 5y) -4 + -2y = 6y + -8 + (8 * 2 + 5y * 2) -4 + -2y = 6y + -8 + (16 + 10y) Reorder the terms: -4 + -2y = -8 + 16 + 6y + 10y Combine like terms: -8 + 16 = 8 -4 + -2y = 8 + 6y + 10y Combine like terms: 6y + 10y = 16y -4 + -2y = 8 + 16y Solving -4 + -2y = 8 + 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. -4 + -2y + -16y = 8 + 16y + -16y Combine like terms: -2y + -16y = -18y -4 + -18y = 8 + 16y + -16y Combine like terms: 16y + -16y = 0 -4 + -18y = 8 + 0 -4 + -18y = 8 Add '4' to each side of the equation. -4 + 4 + -18y = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -18y = 8 + 4 -18y = 8 + 4 Combine like terms: 8 + 4 = 12 -18y = 12 Divide each side by '-18'. y = -0.6666666667 Simplifying y = -0.6666666667
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