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Simplifying 10(y + 2) = 6(y + 4) Reorder the terms: 10(2 + y) = 6(y + 4) (2 * 10 + y * 10) = 6(y + 4) (20 + 10y) = 6(y + 4) Reorder the terms: 20 + 10y = 6(4 + y) 20 + 10y = (4 * 6 + y * 6) 20 + 10y = (24 + 6y) Solving 20 + 10y = 24 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 20 + 10y + -6y = 24 + 6y + -6y Combine like terms: 10y + -6y = 4y 20 + 4y = 24 + 6y + -6y Combine like terms: 6y + -6y = 0 20 + 4y = 24 + 0 20 + 4y = 24 Add '-20' to each side of the equation. 20 + -20 + 4y = 24 + -20 Combine like terms: 20 + -20 = 0 0 + 4y = 24 + -20 4y = 24 + -20 Combine like terms: 24 + -20 = 4 4y = 4 Divide each side by '4'. y = 1 Simplifying y = 1
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