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Simplifying 3y + 4 = 4(y + 4) + -2x Reorder the terms: 4 + 3y = 4(y + 4) + -2x Reorder the terms: 4 + 3y = 4(4 + y) + -2x 4 + 3y = (4 * 4 + y * 4) + -2x 4 + 3y = (16 + 4y) + -2x Reorder the terms: 4 + 3y = 16 + -2x + 4y Solving 4 + 3y = 16 + -2x + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 4 + 3y + -4y = 16 + -2x + 4y + -4y Combine like terms: 3y + -4y = -1y 4 + -1y = 16 + -2x + 4y + -4y Combine like terms: 4y + -4y = 0 4 + -1y = 16 + -2x + 0 4 + -1y = 16 + -2x Add '-4' to each side of the equation. 4 + -4 + -1y = 16 + -4 + -2x Combine like terms: 4 + -4 = 0 0 + -1y = 16 + -4 + -2x -1y = 16 + -4 + -2x Combine like terms: 16 + -4 = 12 -1y = 12 + -2x Divide each side by '-1'. y = -12 + 2x Simplifying y = -12 + 2x
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