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