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Simplifying 42 + -8x + 4y = 2(12 + -4x) + 2w 42 + -8x + 4y = (12 * 2 + -4x * 2) + 2w 42 + -8x + 4y = (24 + -8x) + 2w Reorder the terms: 42 + -8x + 4y = 24 + 2w + -8x Add '8x' to each side of the equation. 42 + -8x + 8x + 4y = 24 + 2w + -8x + 8x Combine like terms: -8x + 8x = 0 42 + 0 + 4y = 24 + 2w + -8x + 8x 42 + 4y = 24 + 2w + -8x + 8x Combine like terms: -8x + 8x = 0 42 + 4y = 24 + 2w + 0 42 + 4y = 24 + 2w Solving 42 + 4y = 24 + 2w Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 4y = 24 + -42 + 2w Combine like terms: 42 + -42 = 0 0 + 4y = 24 + -42 + 2w 4y = 24 + -42 + 2w Combine like terms: 24 + -42 = -18 4y = -18 + 2w Divide each side by '4'. y = -4.5 + 0.5w Simplifying y = -4.5 + 0.5w
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