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Simplifying 2(y + 1) = 4(4 + -2.5y) Reorder the terms: 2(1 + y) = 4(4 + -2.5y) (1 * 2 + y * 2) = 4(4 + -2.5y) (2 + 2y) = 4(4 + -2.5y) 2 + 2y = (4 * 4 + -2.5y * 4) 2 + 2y = (16 + -10y) Solving 2 + 2y = 16 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. 2 + 2y + 10y = 16 + -10y + 10y Combine like terms: 2y + 10y = 12y 2 + 12y = 16 + -10y + 10y Combine like terms: -10y + 10y = 0 2 + 12y = 16 + 0 2 + 12y = 16 Add '-2' to each side of the equation. 2 + -2 + 12y = 16 + -2 Combine like terms: 2 + -2 = 0 0 + 12y = 16 + -2 12y = 16 + -2 Combine like terms: 16 + -2 = 14 12y = 14 Divide each side by '12'. y = 1.166666667 Simplifying y = 1.166666667
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