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Simplifying 2(y + 8) = 4(4y + -6) + 2y Reorder the terms: 2(8 + y) = 4(4y + -6) + 2y (8 * 2 + y * 2) = 4(4y + -6) + 2y (16 + 2y) = 4(4y + -6) + 2y Reorder the terms: 16 + 2y = 4(-6 + 4y) + 2y 16 + 2y = (-6 * 4 + 4y * 4) + 2y 16 + 2y = (-24 + 16y) + 2y Combine like terms: 16y + 2y = 18y 16 + 2y = -24 + 18y Solving 16 + 2y = -24 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. 16 + 2y + -18y = -24 + 18y + -18y Combine like terms: 2y + -18y = -16y 16 + -16y = -24 + 18y + -18y Combine like terms: 18y + -18y = 0 16 + -16y = -24 + 0 16 + -16y = -24 Add '-16' to each side of the equation. 16 + -16 + -16y = -24 + -16 Combine like terms: 16 + -16 = 0 0 + -16y = -24 + -16 -16y = -24 + -16 Combine like terms: -24 + -16 = -40 -16y = -40 Divide each side by '-16'. y = 2.5 Simplifying y = 2.5
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