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Simplifying -20(y + 2) + 6(4y + -4) = 3(y + -6) + 12 Reorder the terms: -20(2 + y) + 6(4y + -4) = 3(y + -6) + 12 (2 * -20 + y * -20) + 6(4y + -4) = 3(y + -6) + 12 (-40 + -20y) + 6(4y + -4) = 3(y + -6) + 12 Reorder the terms: -40 + -20y + 6(-4 + 4y) = 3(y + -6) + 12 -40 + -20y + (-4 * 6 + 4y * 6) = 3(y + -6) + 12 -40 + -20y + (-24 + 24y) = 3(y + -6) + 12 Reorder the terms: -40 + -24 + -20y + 24y = 3(y + -6) + 12 Combine like terms: -40 + -24 = -64 -64 + -20y + 24y = 3(y + -6) + 12 Combine like terms: -20y + 24y = 4y -64 + 4y = 3(y + -6) + 12 Reorder the terms: -64 + 4y = 3(-6 + y) + 12 -64 + 4y = (-6 * 3 + y * 3) + 12 -64 + 4y = (-18 + 3y) + 12 Reorder the terms: -64 + 4y = -18 + 12 + 3y Combine like terms: -18 + 12 = -6 -64 + 4y = -6 + 3y Solving -64 + 4y = -6 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -64 + 4y + -3y = -6 + 3y + -3y Combine like terms: 4y + -3y = 1y -64 + 1y = -6 + 3y + -3y Combine like terms: 3y + -3y = 0 -64 + 1y = -6 + 0 -64 + 1y = -6 Add '64' to each side of the equation. -64 + 64 + 1y = -6 + 64 Combine like terms: -64 + 64 = 0 0 + 1y = -6 + 64 1y = -6 + 64 Combine like terms: -6 + 64 = 58 1y = 58 Divide each side by '1'. y = 58 Simplifying y = 58
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