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Simplifying 4(y + -2) + -3(y + -4) = 2 Reorder the terms: 4(-2 + y) + -3(y + -4) = 2 (-2 * 4 + y * 4) + -3(y + -4) = 2 (-8 + 4y) + -3(y + -4) = 2 Reorder the terms: -8 + 4y + -3(-4 + y) = 2 -8 + 4y + (-4 * -3 + y * -3) = 2 -8 + 4y + (12 + -3y) = 2 Reorder the terms: -8 + 12 + 4y + -3y = 2 Combine like terms: -8 + 12 = 4 4 + 4y + -3y = 2 Combine like terms: 4y + -3y = 1y 4 + 1y = 2 Solving 4 + 1y = 2 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 1y = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 1y = 2 + -4 1y = 2 + -4 Combine like terms: 2 + -4 = -2 1y = -2 Divide each side by '1'. y = -2 Simplifying y = -2
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