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Simplifying 5y + 10 = 9(y + 2) Reorder the terms: 10 + 5y = 9(y + 2) Reorder the terms: 10 + 5y = 9(2 + y) 10 + 5y = (2 * 9 + y * 9) 10 + 5y = (18 + 9y) Solving 10 + 5y = 18 + 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 = 18 + 9y + -9y Combine like terms: 5y + -9y = -4y 10 + -4y = 18 + 9y + -9y Combine like terms: 9y + -9y = 0 10 + -4y = 18 + 0 10 + -4y = 18 Add '-10' to each side of the equation. 10 + -10 + -4y = 18 + -10 Combine like terms: 10 + -10 = 0 0 + -4y = 18 + -10 -4y = 18 + -10 Combine like terms: 18 + -10 = 8 -4y = 8 Divide each side by '-4'. y = -2 Simplifying y = -2
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