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Simplifying -3(2y + 2) = 2(1 + 3y) Reorder the terms: -3(2 + 2y) = 2(1 + 3y) (2 * -3 + 2y * -3) = 2(1 + 3y) (-6 + -6y) = 2(1 + 3y) -6 + -6y = (1 * 2 + 3y * 2) -6 + -6y = (2 + 6y) Solving -6 + -6y = 2 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -6 + -6y + -6y = 2 + 6y + -6y Combine like terms: -6y + -6y = -12y -6 + -12y = 2 + 6y + -6y Combine like terms: 6y + -6y = 0 -6 + -12y = 2 + 0 -6 + -12y = 2 Add '6' to each side of the equation. -6 + 6 + -12y = 2 + 6 Combine like terms: -6 + 6 = 0 0 + -12y = 2 + 6 -12y = 2 + 6 Combine like terms: 2 + 6 = 8 -12y = 8 Divide each side by '-12'. y = -0.6666666667 Simplifying y = -0.6666666667
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