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Simplifying 6y + 4(5 + -1y) = -1(2 + -1y) 6y + (5 * 4 + -1y * 4) = -1(2 + -1y) 6y + (20 + -4y) = -1(2 + -1y) Reorder the terms: 20 + 6y + -4y = -1(2 + -1y) Combine like terms: 6y + -4y = 2y 20 + 2y = -1(2 + -1y) 20 + 2y = (2 * -1 + -1y * -1) 20 + 2y = (-2 + 1y) Solving 20 + 2y = -2 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 20 + 2y + -1y = -2 + 1y + -1y Combine like terms: 2y + -1y = 1y 20 + 1y = -2 + 1y + -1y Combine like terms: 1y + -1y = 0 20 + 1y = -2 + 0 20 + 1y = -2 Add '-20' to each side of the equation. 20 + -20 + 1y = -2 + -20 Combine like terms: 20 + -20 = 0 0 + 1y = -2 + -20 1y = -2 + -20 Combine like terms: -2 + -20 = -22 1y = -22 Divide each side by '1'. y = -22 Simplifying y = -22
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