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Simplifying 4(8 + -1y) = 2y + -4 (8 * 4 + -1y * 4) = 2y + -4 (32 + -4y) = 2y + -4 Reorder the terms: 32 + -4y = -4 + 2y Solving 32 + -4y = -4 + 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 + -4y + -2y = -4 + 2y + -2y Combine like terms: -4y + -2y = -6y 32 + -6y = -4 + 2y + -2y Combine like terms: 2y + -2y = 0 32 + -6y = -4 + 0 32 + -6y = -4 Add '-32' to each side of the equation. 32 + -32 + -6y = -4 + -32 Combine like terms: 32 + -32 = 0 0 + -6y = -4 + -32 -6y = -4 + -32 Combine like terms: -4 + -32 = -36 -6y = -36 Divide each side by '-6'. y = 6 Simplifying y = 6
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