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Simplifying -2(3y + -2) = 4(-3y + 2) + 8 Reorder the terms: -2(-2 + 3y) = 4(-3y + 2) + 8 (-2 * -2 + 3y * -2) = 4(-3y + 2) + 8 (4 + -6y) = 4(-3y + 2) + 8 Reorder the terms: 4 + -6y = 4(2 + -3y) + 8 4 + -6y = (2 * 4 + -3y * 4) + 8 4 + -6y = (8 + -12y) + 8 Reorder the terms: 4 + -6y = 8 + 8 + -12y Combine like terms: 8 + 8 = 16 4 + -6y = 16 + -12y Solving 4 + -6y = 16 + -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. 4 + -6y + 12y = 16 + -12y + 12y Combine like terms: -6y + 12y = 6y 4 + 6y = 16 + -12y + 12y Combine like terms: -12y + 12y = 0 4 + 6y = 16 + 0 4 + 6y = 16 Add '-4' to each side of the equation. 4 + -4 + 6y = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 6y = 16 + -4 6y = 16 + -4 Combine like terms: 16 + -4 = 12 6y = 12 Divide each side by '6'. y = 2 Simplifying y = 2
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