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Simplifying 4(4y + -5) + -1(4y + 4) = 0 Reorder the terms: 4(-5 + 4y) + -1(4y + 4) = 0 (-5 * 4 + 4y * 4) + -1(4y + 4) = 0 (-20 + 16y) + -1(4y + 4) = 0 Reorder the terms: -20 + 16y + -1(4 + 4y) = 0 -20 + 16y + (4 * -1 + 4y * -1) = 0 -20 + 16y + (-4 + -4y) = 0 Reorder the terms: -20 + -4 + 16y + -4y = 0 Combine like terms: -20 + -4 = -24 -24 + 16y + -4y = 0 Combine like terms: 16y + -4y = 12y -24 + 12y = 0 Solving -24 + 12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 12y = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 12y = 0 + 24 12y = 0 + 24 Combine like terms: 0 + 24 = 24 12y = 24 Divide each side by '12'. y = 2 Simplifying y = 2
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