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Simplifying (7y + -9) + -1(4y + 10) = 0 Reorder the terms: (-9 + 7y) + -1(4y + 10) = 0 Remove parenthesis around (-9 + 7y) -9 + 7y + -1(4y + 10) = 0 Reorder the terms: -9 + 7y + -1(10 + 4y) = 0 -9 + 7y + (10 * -1 + 4y * -1) = 0 -9 + 7y + (-10 + -4y) = 0 Reorder the terms: -9 + -10 + 7y + -4y = 0 Combine like terms: -9 + -10 = -19 -19 + 7y + -4y = 0 Combine like terms: 7y + -4y = 3y -19 + 3y = 0 Solving -19 + 3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 3y = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 3y = 0 + 19 3y = 0 + 19 Combine like terms: 0 + 19 = 19 3y = 19 Divide each side by '3'. y = 6.333333333 Simplifying y = 6.333333333
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