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Simplifying 3(2y + -4) + -2(y + 2) = 0 Reorder the terms: 3(-4 + 2y) + -2(y + 2) = 0 (-4 * 3 + 2y * 3) + -2(y + 2) = 0 (-12 + 6y) + -2(y + 2) = 0 Reorder the terms: -12 + 6y + -2(2 + y) = 0 -12 + 6y + (2 * -2 + y * -2) = 0 -12 + 6y + (-4 + -2y) = 0 Reorder the terms: -12 + -4 + 6y + -2y = 0 Combine like terms: -12 + -4 = -16 -16 + 6y + -2y = 0 Combine like terms: 6y + -2y = 4y -16 + 4y = 0 Solving -16 + 4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 4y = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 4y = 0 + 16 4y = 0 + 16 Combine like terms: 0 + 16 = 16 4y = 16 Divide each side by '4'. y = 4 Simplifying y = 4
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