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Simplifying 4(y + -4) + 2(y + 2) = 12 Reorder the terms: 4(-4 + y) + 2(y + 2) = 12 (-4 * 4 + y * 4) + 2(y + 2) = 12 (-16 + 4y) + 2(y + 2) = 12 Reorder the terms: -16 + 4y + 2(2 + y) = 12 -16 + 4y + (2 * 2 + y * 2) = 12 -16 + 4y + (4 + 2y) = 12 Reorder the terms: -16 + 4 + 4y + 2y = 12 Combine like terms: -16 + 4 = -12 -12 + 4y + 2y = 12 Combine like terms: 4y + 2y = 6y -12 + 6y = 12 Solving -12 + 6y = 12 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 6y = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 6y = 12 + 12 6y = 12 + 12 Combine like terms: 12 + 12 = 24 6y = 24 Divide each side by '6'. y = 4 Simplifying y = 4
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