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Simplifying 8y + -8 + 4(2y + 1) = -2(y + 5) Reorder the terms: 8y + -8 + 4(1 + 2y) = -2(y + 5) 8y + -8 + (1 * 4 + 2y * 4) = -2(y + 5) 8y + -8 + (4 + 8y) = -2(y + 5) Reorder the terms: -8 + 4 + 8y + 8y = -2(y + 5) Combine like terms: -8 + 4 = -4 -4 + 8y + 8y = -2(y + 5) Combine like terms: 8y + 8y = 16y -4 + 16y = -2(y + 5) Reorder the terms: -4 + 16y = -2(5 + y) -4 + 16y = (5 * -2 + y * -2) -4 + 16y = (-10 + -2y) Solving -4 + 16y = -10 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -4 + 16y + 2y = -10 + -2y + 2y Combine like terms: 16y + 2y = 18y -4 + 18y = -10 + -2y + 2y Combine like terms: -2y + 2y = 0 -4 + 18y = -10 + 0 -4 + 18y = -10 Add '4' to each side of the equation. -4 + 4 + 18y = -10 + 4 Combine like terms: -4 + 4 = 0 0 + 18y = -10 + 4 18y = -10 + 4 Combine like terms: -10 + 4 = -6 18y = -6 Divide each side by '18'. y = -0.3333333333 Simplifying y = -0.3333333333
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