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Simplifying 8(y + -4) = -2y + -2 Reorder the terms: 8(-4 + y) = -2y + -2 (-4 * 8 + y * 8) = -2y + -2 (-32 + 8y) = -2y + -2 Reorder the terms: -32 + 8y = -2 + -2y Solving -32 + 8y = -2 + -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 = -2 + -2y + 2y Combine like terms: 8y + 2y = 10y -32 + 10y = -2 + -2y + 2y Combine like terms: -2y + 2y = 0 -32 + 10y = -2 + 0 -32 + 10y = -2 Add '32' to each side of the equation. -32 + 32 + 10y = -2 + 32 Combine like terms: -32 + 32 = 0 0 + 10y = -2 + 32 10y = -2 + 32 Combine like terms: -2 + 32 = 30 10y = 30 Divide each side by '10'. y = 3 Simplifying y = 3
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