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Simplifying 3(y + -1) + -4(y + -2) = 6 Reorder the terms: 3(-1 + y) + -4(y + -2) = 6 (-1 * 3 + y * 3) + -4(y + -2) = 6 (-3 + 3y) + -4(y + -2) = 6 Reorder the terms: -3 + 3y + -4(-2 + y) = 6 -3 + 3y + (-2 * -4 + y * -4) = 6 -3 + 3y + (8 + -4y) = 6 Reorder the terms: -3 + 8 + 3y + -4y = 6 Combine like terms: -3 + 8 = 5 5 + 3y + -4y = 6 Combine like terms: 3y + -4y = -1y 5 + -1y = 6 Solving 5 + -1y = 6 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1y = 6 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 6 + -5 -1y = 6 + -5 Combine like terms: 6 + -5 = 1 -1y = 1 Divide each side by '-1'. y = -1 Simplifying y = -1
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