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Simplifying (4y + 9) + -1(7y + -2) + (13 + -1y) = 0 Reorder the terms: (9 + 4y) + -1(7y + -2) + (13 + -1y) = 0 Remove parenthesis around (9 + 4y) 9 + 4y + -1(7y + -2) + (13 + -1y) = 0 Reorder the terms: 9 + 4y + -1(-2 + 7y) + (13 + -1y) = 0 9 + 4y + (-2 * -1 + 7y * -1) + (13 + -1y) = 0 9 + 4y + (2 + -7y) + (13 + -1y) = 0 Remove parenthesis around (13 + -1y) 9 + 4y + 2 + -7y + 13 + -1y = 0 Reorder the terms: 9 + 2 + 13 + 4y + -7y + -1y = 0 Combine like terms: 9 + 2 = 11 11 + 13 + 4y + -7y + -1y = 0 Combine like terms: 11 + 13 = 24 24 + 4y + -7y + -1y = 0 Combine like terms: 4y + -7y = -3y 24 + -3y + -1y = 0 Combine like terms: -3y + -1y = -4y 24 + -4y = 0 Solving 24 + -4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -4y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -4y = 0 + -24 -4y = 0 + -24 Combine like terms: 0 + -24 = -24 -4y = -24 Divide each side by '-4'. y = 6 Simplifying y = 6
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