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Simplifying 4(x + 6) + (3 + 4Y) = 24 Reorder the terms: 4(6 + x) + (3 + 4Y) = 24 (6 * 4 + x * 4) + (3 + 4Y) = 24 (24 + 4x) + (3 + 4Y) = 24 Remove parenthesis around (3 + 4Y) 24 + 4x + 3 + 4Y = 24 Reorder the terms: 24 + 3 + 4Y + 4x = 24 Combine like terms: 24 + 3 = 27 27 + 4Y + 4x = 24 Solving 27 + 4Y + 4x = 24 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + 4Y + -27 + 4x = 24 + -27 Reorder the terms: 27 + -27 + 4Y + 4x = 24 + -27 Combine like terms: 27 + -27 = 0 0 + 4Y + 4x = 24 + -27 4Y + 4x = 24 + -27 Combine like terms: 24 + -27 = -3 4Y + 4x = -3 Add '-4x' to each side of the equation. 4Y + 4x + -4x = -3 + -4x Combine like terms: 4x + -4x = 0 4Y + 0 = -3 + -4x 4Y = -3 + -4x Divide each side by '4'. Y = -0.75 + -1x Simplifying Y = -0.75 + -1x
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