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Simplifying 2(3 + -1y) + -4(y + 2) + 20 = 0 (3 * 2 + -1y * 2) + -4(y + 2) + 20 = 0 (6 + -2y) + -4(y + 2) + 20 = 0 Reorder the terms: 6 + -2y + -4(2 + y) + 20 = 0 6 + -2y + (2 * -4 + y * -4) + 20 = 0 6 + -2y + (-8 + -4y) + 20 = 0 Reorder the terms: 6 + -8 + 20 + -2y + -4y = 0 Combine like terms: 6 + -8 = -2 -2 + 20 + -2y + -4y = 0 Combine like terms: -2 + 20 = 18 18 + -2y + -4y = 0 Combine like terms: -2y + -4y = -6y 18 + -6y = 0 Solving 18 + -6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -6y = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -6y = 0 + -18 -6y = 0 + -18 Combine like terms: 0 + -18 = -18 -6y = -18 Divide each side by '-6'. y = 3 Simplifying y = 3
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