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Simplifying -5(5y + -7) + 3(3y + 9) = 0 Reorder the terms: -5(-7 + 5y) + 3(3y + 9) = 0 (-7 * -5 + 5y * -5) + 3(3y + 9) = 0 (35 + -25y) + 3(3y + 9) = 0 Reorder the terms: 35 + -25y + 3(9 + 3y) = 0 35 + -25y + (9 * 3 + 3y * 3) = 0 35 + -25y + (27 + 9y) = 0 Reorder the terms: 35 + 27 + -25y + 9y = 0 Combine like terms: 35 + 27 = 62 62 + -25y + 9y = 0 Combine like terms: -25y + 9y = -16y 62 + -16y = 0 Solving 62 + -16y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-62' to each side of the equation. 62 + -62 + -16y = 0 + -62 Combine like terms: 62 + -62 = 0 0 + -16y = 0 + -62 -16y = 0 + -62 Combine like terms: 0 + -62 = -62 -16y = -62 Divide each side by '-16'. y = 3.875 Simplifying y = 3.875
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