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Simplifying 10(y + 5) = 2(y + 9) Reorder the terms: 10(5 + y) = 2(y + 9) (5 * 10 + y * 10) = 2(y + 9) (50 + 10y) = 2(y + 9) Reorder the terms: 50 + 10y = 2(9 + y) 50 + 10y = (9 * 2 + y * 2) 50 + 10y = (18 + 2y) Solving 50 + 10y = 18 + 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. 50 + 10y + -2y = 18 + 2y + -2y Combine like terms: 10y + -2y = 8y 50 + 8y = 18 + 2y + -2y Combine like terms: 2y + -2y = 0 50 + 8y = 18 + 0 50 + 8y = 18 Add '-50' to each side of the equation. 50 + -50 + 8y = 18 + -50 Combine like terms: 50 + -50 = 0 0 + 8y = 18 + -50 8y = 18 + -50 Combine like terms: 18 + -50 = -32 8y = -32 Divide each side by '8'. y = -4 Simplifying y = -4
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