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Simplifying (8y + 2) + (2y + 3) = 45 Reorder the terms: (2 + 8y) + (2y + 3) = 45 Remove parenthesis around (2 + 8y) 2 + 8y + (2y + 3) = 45 Reorder the terms: 2 + 8y + (3 + 2y) = 45 Remove parenthesis around (3 + 2y) 2 + 8y + 3 + 2y = 45 Reorder the terms: 2 + 3 + 8y + 2y = 45 Combine like terms: 2 + 3 = 5 5 + 8y + 2y = 45 Combine like terms: 8y + 2y = 10y 5 + 10y = 45 Solving 5 + 10y = 45 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 10y = 45 + -5 Combine like terms: 5 + -5 = 0 0 + 10y = 45 + -5 10y = 45 + -5 Combine like terms: 45 + -5 = 40 10y = 40 Divide each side by '10'. y = 4 Simplifying y = 4
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