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Simplifying 4(y + -2) = 2(5 + -1y) Reorder the terms: 4(-2 + y) = 2(5 + -1y) (-2 * 4 + y * 4) = 2(5 + -1y) (-8 + 4y) = 2(5 + -1y) -8 + 4y = (5 * 2 + -1y * 2) -8 + 4y = (10 + -2y) Solving -8 + 4y = 10 + -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. -8 + 4y + 2y = 10 + -2y + 2y Combine like terms: 4y + 2y = 6y -8 + 6y = 10 + -2y + 2y Combine like terms: -2y + 2y = 0 -8 + 6y = 10 + 0 -8 + 6y = 10 Add '8' to each side of the equation. -8 + 8 + 6y = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 6y = 10 + 8 6y = 10 + 8 Combine like terms: 10 + 8 = 18 6y = 18 Divide each side by '6'. y = 3 Simplifying y = 3
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