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Simplifying 4 = 8(y + -4) + -2y Reorder the terms: 4 = 8(-4 + y) + -2y 4 = (-4 * 8 + y * 8) + -2y 4 = (-32 + 8y) + -2y Combine like terms: 8y + -2y = 6y 4 = -32 + 6y Solving 4 = -32 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 4 + -6y = -32 + 6y + -6y Combine like terms: 6y + -6y = 0 4 + -6y = -32 + 0 4 + -6y = -32 Add '-4' to each side of the equation. 4 + -4 + -6y = -32 + -4 Combine like terms: 4 + -4 = 0 0 + -6y = -32 + -4 -6y = -32 + -4 Combine like terms: -32 + -4 = -36 -6y = -36 Divide each side by '-6'. y = 6 Simplifying y = 6
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