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Simplifying 7(3y + -2) + -1(9y + 5) = 0 Reorder the terms: 7(-2 + 3y) + -1(9y + 5) = 0 (-2 * 7 + 3y * 7) + -1(9y + 5) = 0 (-14 + 21y) + -1(9y + 5) = 0 Reorder the terms: -14 + 21y + -1(5 + 9y) = 0 -14 + 21y + (5 * -1 + 9y * -1) = 0 -14 + 21y + (-5 + -9y) = 0 Reorder the terms: -14 + -5 + 21y + -9y = 0 Combine like terms: -14 + -5 = -19 -19 + 21y + -9y = 0 Combine like terms: 21y + -9y = 12y -19 + 12y = 0 Solving -19 + 12y = 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 + 12y = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 12y = 0 + 19 12y = 0 + 19 Combine like terms: 0 + 19 = 19 12y = 19 Divide each side by '12'. y = 1.583333333 Simplifying y = 1.583333333
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