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Simplifying (6 + -1y) + (1 + 4y) = 43 Remove parenthesis around (6 + -1y) 6 + -1y + (1 + 4y) = 43 Remove parenthesis around (1 + 4y) 6 + -1y + 1 + 4y = 43 Reorder the terms: 6 + 1 + -1y + 4y = 43 Combine like terms: 6 + 1 = 7 7 + -1y + 4y = 43 Combine like terms: -1y + 4y = 3y 7 + 3y = 43 Solving 7 + 3y = 43 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3y = 43 + -7 Combine like terms: 7 + -7 = 0 0 + 3y = 43 + -7 3y = 43 + -7 Combine like terms: 43 + -7 = 36 3y = 36 Divide each side by '3'. y = 12 Simplifying y = 12
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