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Simplifying 2(4 + -1y) = 3y + -22 (4 * 2 + -1y * 2) = 3y + -22 (8 + -2y) = 3y + -22 Reorder the terms: 8 + -2y = -22 + 3y Solving 8 + -2y = -22 + 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. 8 + -2y + -3y = -22 + 3y + -3y Combine like terms: -2y + -3y = -5y 8 + -5y = -22 + 3y + -3y Combine like terms: 3y + -3y = 0 8 + -5y = -22 + 0 8 + -5y = -22 Add '-8' to each side of the equation. 8 + -8 + -5y = -22 + -8 Combine like terms: 8 + -8 = 0 0 + -5y = -22 + -8 -5y = -22 + -8 Combine like terms: -22 + -8 = -30 -5y = -30 Divide each side by '-5'. y = 6 Simplifying y = 6
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