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Simplifying 8(y + -2) = -2(5 + y) Reorder the terms: 8(-2 + y) = -2(5 + y) (-2 * 8 + y * 8) = -2(5 + y) (-16 + 8y) = -2(5 + y) -16 + 8y = (5 * -2 + y * -2) -16 + 8y = (-10 + -2y) Solving -16 + 8y = -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. -16 + 8y + 2y = -10 + -2y + 2y Combine like terms: 8y + 2y = 10y -16 + 10y = -10 + -2y + 2y Combine like terms: -2y + 2y = 0 -16 + 10y = -10 + 0 -16 + 10y = -10 Add '16' to each side of the equation. -16 + 16 + 10y = -10 + 16 Combine like terms: -16 + 16 = 0 0 + 10y = -10 + 16 10y = -10 + 16 Combine like terms: -10 + 16 = 6 10y = 6 Divide each side by '10'. y = 0.6 Simplifying y = 0.6
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