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Simplifying (4y + 1) + (y + -4) = 12 Reorder the terms: (1 + 4y) + (y + -4) = 12 Remove parenthesis around (1 + 4y) 1 + 4y + (y + -4) = 12 Reorder the terms: 1 + 4y + (-4 + y) = 12 Remove parenthesis around (-4 + y) 1 + 4y + -4 + y = 12 Reorder the terms: 1 + -4 + 4y + y = 12 Combine like terms: 1 + -4 = -3 -3 + 4y + y = 12 Combine like terms: 4y + y = 5y -3 + 5y = 12 Solving -3 + 5y = 12 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 5y = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 5y = 12 + 3 5y = 12 + 3 Combine like terms: 12 + 3 = 15 5y = 15 Divide each side by '5'. y = 3 Simplifying y = 3
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