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Simplifying -3(y + 2) = -4(3y + -1) Reorder the terms: -3(2 + y) = -4(3y + -1) (2 * -3 + y * -3) = -4(3y + -1) (-6 + -3y) = -4(3y + -1) Reorder the terms: -6 + -3y = -4(-1 + 3y) -6 + -3y = (-1 * -4 + 3y * -4) -6 + -3y = (4 + -12y) Solving -6 + -3y = 4 + -12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12y' to each side of the equation. -6 + -3y + 12y = 4 + -12y + 12y Combine like terms: -3y + 12y = 9y -6 + 9y = 4 + -12y + 12y Combine like terms: -12y + 12y = 0 -6 + 9y = 4 + 0 -6 + 9y = 4 Add '6' to each side of the equation. -6 + 6 + 9y = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 9y = 4 + 6 9y = 4 + 6 Combine like terms: 4 + 6 = 10 9y = 10 Divide each side by '9'. y = 1.111111111 Simplifying y = 1.111111111
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