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Simplifying -2(y + 4) = 2y + -4 + 2(7y + 3) Reorder the terms: -2(4 + y) = 2y + -4 + 2(7y + 3) (4 * -2 + y * -2) = 2y + -4 + 2(7y + 3) (-8 + -2y) = 2y + -4 + 2(7y + 3) Reorder the terms: -8 + -2y = 2y + -4 + 2(3 + 7y) -8 + -2y = 2y + -4 + (3 * 2 + 7y * 2) -8 + -2y = 2y + -4 + (6 + 14y) Reorder the terms: -8 + -2y = -4 + 6 + 2y + 14y Combine like terms: -4 + 6 = 2 -8 + -2y = 2 + 2y + 14y Combine like terms: 2y + 14y = 16y -8 + -2y = 2 + 16y Solving -8 + -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. -8 + -2y + -16y = 2 + 16y + -16y Combine like terms: -2y + -16y = -18y -8 + -18y = 2 + 16y + -16y Combine like terms: 16y + -16y = 0 -8 + -18y = 2 + 0 -8 + -18y = 2 Add '8' to each side of the equation. -8 + 8 + -18y = 2 + 8 Combine like terms: -8 + 8 = 0 0 + -18y = 2 + 8 -18y = 2 + 8 Combine like terms: 2 + 8 = 10 -18y = 10 Divide each side by '-18'. y = -0.5555555556 Simplifying y = -0.5555555556
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