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Simplifying 8(y + -4) = -2(5 + y) Reorder the terms: 8(-4 + y) = -2(5 + y) (-4 * 8 + y * 8) = -2(5 + y) (-32 + 8y) = -2(5 + y) -32 + 8y = (5 * -2 + y * -2) -32 + 8y = (-10 + -2y) Solving -32 + 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. -32 + 8y + 2y = -10 + -2y + 2y Combine like terms: 8y + 2y = 10y -32 + 10y = -10 + -2y + 2y Combine like terms: -2y + 2y = 0 -32 + 10y = -10 + 0 -32 + 10y = -10 Add '32' to each side of the equation. -32 + 32 + 10y = -10 + 32 Combine like terms: -32 + 32 = 0 0 + 10y = -10 + 32 10y = -10 + 32 Combine like terms: -10 + 32 = 22 10y = 22 Divide each side by '10'. y = 2.2 Simplifying y = 2.2
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