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Simplifying 6(x + 4) = 6x + 6y Reorder the terms: 6(4 + x) = 6x + 6y (4 * 6 + x * 6) = 6x + 6y (24 + 6x) = 6x + 6y Add '-6x' to each side of the equation. 24 + 6x + -6x = 6x + -6x + 6y Combine like terms: 6x + -6x = 0 24 + 0 = 6x + -6x + 6y 24 = 6x + -6x + 6y Combine like terms: 6x + -6x = 0 24 = 0 + 6y 24 = 6y Solving 24 = 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. 24 + -6y = 6y + -6y Combine like terms: 6y + -6y = 0 24 + -6y = 0 Add '-24' to each side of the equation. 24 + -24 + -6y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -6y = 0 + -24 -6y = 0 + -24 Combine like terms: 0 + -24 = -24 -6y = -24 Divide each side by '-6'. y = 4 Simplifying y = 4
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