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Simplifying 2(x + 4) = 2x + 8y Reorder the terms: 2(4 + x) = 2x + 8y (4 * 2 + x * 2) = 2x + 8y (8 + 2x) = 2x + 8y Add '-2x' to each side of the equation. 8 + 2x + -2x = 2x + -2x + 8y Combine like terms: 2x + -2x = 0 8 + 0 = 2x + -2x + 8y 8 = 2x + -2x + 8y Combine like terms: 2x + -2x = 0 8 = 0 + 8y 8 = 8y Solving 8 = 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 8 + -8y = 8y + -8y Combine like terms: 8y + -8y = 0 8 + -8y = 0 Add '-8' to each side of the equation. 8 + -8 + -8y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -8y = 0 + -8 -8y = 0 + -8 Combine like terms: 0 + -8 = -8 -8y = -8 Divide each side by '-8'. y = 1 Simplifying y = 1
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