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Simplifying 12y + 5(6y + 7) = 20 * 10 + 3 Reorder the terms: 12y + 5(7 + 6y) = 20 * 10 + 3 12y + (7 * 5 + 6y * 5) = 20 * 10 + 3 12y + (35 + 30y) = 20 * 10 + 3 Reorder the terms: 35 + 12y + 30y = 20 * 10 + 3 Combine like terms: 12y + 30y = 42y 35 + 42y = 20 * 10 + 3 Multiply 20 * 10 35 + 42y = 200 + 3 Combine like terms: 200 + 3 = 203 35 + 42y = 203 Solving 35 + 42y = 203 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 42y = 203 + -35 Combine like terms: 35 + -35 = 0 0 + 42y = 203 + -35 42y = 203 + -35 Combine like terms: 203 + -35 = 168 42y = 168 Divide each side by '42'. y = 4 Simplifying y = 4
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