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Simplifying 5(y + 2) = 9y + 2 Reorder the terms: 5(2 + y) = 9y + 2 (2 * 5 + y * 5) = 9y + 2 (10 + 5y) = 9y + 2 Reorder the terms: 10 + 5y = 2 + 9y Solving 10 + 5y = 2 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 10 + 5y + -9y = 2 + 9y + -9y Combine like terms: 5y + -9y = -4y 10 + -4y = 2 + 9y + -9y Combine like terms: 9y + -9y = 0 10 + -4y = 2 + 0 10 + -4y = 2 Add '-10' to each side of the equation. 10 + -10 + -4y = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -4y = 2 + -10 -4y = 2 + -10 Combine like terms: 2 + -10 = -8 -4y = -8 Divide each side by '-4'. y = 2 Simplifying y = 2
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