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