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Simplifying (4y + 6) + -1(7y + 9) = 0 Reorder the terms: (6 + 4y) + -1(7y + 9) = 0 Remove parenthesis around (6 + 4y) 6 + 4y + -1(7y + 9) = 0 Reorder the terms: 6 + 4y + -1(9 + 7y) = 0 6 + 4y + (9 * -1 + 7y * -1) = 0 6 + 4y + (-9 + -7y) = 0 Reorder the terms: 6 + -9 + 4y + -7y = 0 Combine like terms: 6 + -9 = -3 -3 + 4y + -7y = 0 Combine like terms: 4y + -7y = -3y -3 + -3y = 0 Solving -3 + -3y = 0 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 + -3y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -3y = 0 + 3 -3y = 0 + 3 Combine like terms: 0 + 3 = 3 -3y = 3 Divide each side by '-3'. y = -1 Simplifying y = -1
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