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Simplifying 20(y + -5) = 4(y + 4) + -12 Reorder the terms: 20(-5 + y) = 4(y + 4) + -12 (-5 * 20 + y * 20) = 4(y + 4) + -12 (-100 + 20y) = 4(y + 4) + -12 Reorder the terms: -100 + 20y = 4(4 + y) + -12 -100 + 20y = (4 * 4 + y * 4) + -12 -100 + 20y = (16 + 4y) + -12 Reorder the terms: -100 + 20y = 16 + -12 + 4y Combine like terms: 16 + -12 = 4 -100 + 20y = 4 + 4y Solving -100 + 20y = 4 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -100 + 20y + -4y = 4 + 4y + -4y Combine like terms: 20y + -4y = 16y -100 + 16y = 4 + 4y + -4y Combine like terms: 4y + -4y = 0 -100 + 16y = 4 + 0 -100 + 16y = 4 Add '100' to each side of the equation. -100 + 100 + 16y = 4 + 100 Combine like terms: -100 + 100 = 0 0 + 16y = 4 + 100 16y = 4 + 100 Combine like terms: 4 + 100 = 104 16y = 104 Divide each side by '16'. y = 6.5 Simplifying y = 6.5
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