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Simplifying -5y + 2 = 2(4 + -1y) Reorder the terms: 2 + -5y = 2(4 + -1y) 2 + -5y = (4 * 2 + -1y * 2) 2 + -5y = (8 + -2y) Solving 2 + -5y = 8 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 2 + -5y + 2y = 8 + -2y + 2y Combine like terms: -5y + 2y = -3y 2 + -3y = 8 + -2y + 2y Combine like terms: -2y + 2y = 0 2 + -3y = 8 + 0 2 + -3y = 8 Add '-2' to each side of the equation. 2 + -2 + -3y = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -3y = 8 + -2 -3y = 8 + -2 Combine like terms: 8 + -2 = 6 -3y = 6 Divide each side by '-3'. y = -2 Simplifying y = -2
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