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Simplifying 8y + 10 = 2(y + 11) Reorder the terms: 10 + 8y = 2(y + 11) Reorder the terms: 10 + 8y = 2(11 + y) 10 + 8y = (11 * 2 + y * 2) 10 + 8y = (22 + 2y) Solving 10 + 8y = 22 + 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. 10 + 8y + -2y = 22 + 2y + -2y Combine like terms: 8y + -2y = 6y 10 + 6y = 22 + 2y + -2y Combine like terms: 2y + -2y = 0 10 + 6y = 22 + 0 10 + 6y = 22 Add '-10' to each side of the equation. 10 + -10 + 6y = 22 + -10 Combine like terms: 10 + -10 = 0 0 + 6y = 22 + -10 6y = 22 + -10 Combine like terms: 22 + -10 = 12 6y = 12 Divide each side by '6'. y = 2 Simplifying y = 2
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