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Simplifying 10(y + 4) = 2(2y + 5) Reorder the terms: 10(4 + y) = 2(2y + 5) (4 * 10 + y * 10) = 2(2y + 5) (40 + 10y) = 2(2y + 5) Reorder the terms: 40 + 10y = 2(5 + 2y) 40 + 10y = (5 * 2 + 2y * 2) 40 + 10y = (10 + 4y) Solving 40 + 10y = 10 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 40 + 10y + -4y = 10 + 4y + -4y Combine like terms: 10y + -4y = 6y 40 + 6y = 10 + 4y + -4y Combine like terms: 4y + -4y = 0 40 + 6y = 10 + 0 40 + 6y = 10 Add '-40' to each side of the equation. 40 + -40 + 6y = 10 + -40 Combine like terms: 40 + -40 = 0 0 + 6y = 10 + -40 6y = 10 + -40 Combine like terms: 10 + -40 = -30 6y = -30 Divide each side by '6'. y = -5 Simplifying y = -5
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