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Simplifying 4(3y + -1) + -3(2y) = 6 Reorder the terms: 4(-1 + 3y) + -3(2y) = 6 (-1 * 4 + 3y * 4) + -3(2y) = 6 (-4 + 12y) + -3(2y) = 6 Remove parenthesis around (2y) -4 + 12y + -3 * 2y = 6 Multiply -3 * 2 -4 + 12y + -6y = 6 Combine like terms: 12y + -6y = 6y -4 + 6y = 6 Solving -4 + 6y = 6 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 + 6y = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 6y = 6 + 4 6y = 6 + 4 Combine like terms: 6 + 4 = 10 6y = 10 Divide each side by '6'. y = 1.666666667 Simplifying y = 1.666666667
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