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Simplifying -2(y + 1) + 5y = 2(y + 4) Reorder the terms: -2(1 + y) + 5y = 2(y + 4) (1 * -2 + y * -2) + 5y = 2(y + 4) (-2 + -2y) + 5y = 2(y + 4) Combine like terms: -2y + 5y = 3y -2 + 3y = 2(y + 4) Reorder the terms: -2 + 3y = 2(4 + y) -2 + 3y = (4 * 2 + y * 2) -2 + 3y = (8 + 2y) Solving -2 + 3y = 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 + 3y + -2y = 8 + 2y + -2y Combine like terms: 3y + -2y = 1y -2 + 1y = 8 + 2y + -2y Combine like terms: 2y + -2y = 0 -2 + 1y = 8 + 0 -2 + 1y = 8 Add '2' to each side of the equation. -2 + 2 + 1y = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 1y = 8 + 2 1y = 8 + 2 Combine like terms: 8 + 2 = 10 1y = 10 Divide each side by '1'. y = 10 Simplifying y = 10
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