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Simplifying 3(y + 4) = 7x + -5x + 6 Reorder the terms: 3(4 + y) = 7x + -5x + 6 (4 * 3 + y * 3) = 7x + -5x + 6 (12 + 3y) = 7x + -5x + 6 Reorder the terms: 12 + 3y = 6 + 7x + -5x Combine like terms: 7x + -5x = 2x 12 + 3y = 6 + 2x Solving 12 + 3y = 6 + 2x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 3y = 6 + -12 + 2x Combine like terms: 12 + -12 = 0 0 + 3y = 6 + -12 + 2x 3y = 6 + -12 + 2x Combine like terms: 6 + -12 = -6 3y = -6 + 2x Divide each side by '3'. y = -2 + 0.6666666667x Simplifying y = -2 + 0.6666666667x
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