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Simplifying 7(3y + -5) + -1(2y + 8) = 0 Reorder the terms: 7(-5 + 3y) + -1(2y + 8) = 0 (-5 * 7 + 3y * 7) + -1(2y + 8) = 0 (-35 + 21y) + -1(2y + 8) = 0 Reorder the terms: -35 + 21y + -1(8 + 2y) = 0 -35 + 21y + (8 * -1 + 2y * -1) = 0 -35 + 21y + (-8 + -2y) = 0 Reorder the terms: -35 + -8 + 21y + -2y = 0 Combine like terms: -35 + -8 = -43 -43 + 21y + -2y = 0 Combine like terms: 21y + -2y = 19y -43 + 19y = 0 Solving -43 + 19y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + 19y = 0 + 43 Combine like terms: -43 + 43 = 0 0 + 19y = 0 + 43 19y = 0 + 43 Combine like terms: 0 + 43 = 43 19y = 43 Divide each side by '19'. y = 2.263157895 Simplifying y = 2.263157895
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