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Simplifying 5(8 + -2y) = 2 + 16(4 + y) (8 * 5 + -2y * 5) = 2 + 16(4 + y) (40 + -10y) = 2 + 16(4 + y) 40 + -10y = 2 + (4 * 16 + y * 16) 40 + -10y = 2 + (64 + 16y) Combine like terms: 2 + 64 = 66 40 + -10y = 66 + 16y Solving 40 + -10y = 66 + 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. 40 + -10y + -16y = 66 + 16y + -16y Combine like terms: -10y + -16y = -26y 40 + -26y = 66 + 16y + -16y Combine like terms: 16y + -16y = 0 40 + -26y = 66 + 0 40 + -26y = 66 Add '-40' to each side of the equation. 40 + -40 + -26y = 66 + -40 Combine like terms: 40 + -40 = 0 0 + -26y = 66 + -40 -26y = 66 + -40 Combine like terms: 66 + -40 = 26 -26y = 26 Divide each side by '-26'. y = -1 Simplifying y = -1
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