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Simplifying -5(3y + -7) + 3(2y + 9) = 0 Reorder the terms: -5(-7 + 3y) + 3(2y + 9) = 0 (-7 * -5 + 3y * -5) + 3(2y + 9) = 0 (35 + -15y) + 3(2y + 9) = 0 Reorder the terms: 35 + -15y + 3(9 + 2y) = 0 35 + -15y + (9 * 3 + 2y * 3) = 0 35 + -15y + (27 + 6y) = 0 Reorder the terms: 35 + 27 + -15y + 6y = 0 Combine like terms: 35 + 27 = 62 62 + -15y + 6y = 0 Combine like terms: -15y + 6y = -9y 62 + -9y = 0 Solving 62 + -9y = 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 + -9y = 0 + -62 Combine like terms: 62 + -62 = 0 0 + -9y = 0 + -62 -9y = 0 + -62 Combine like terms: 0 + -62 = -62 -9y = -62 Divide each side by '-9'. y = 6.888888889 Simplifying y = 6.888888889
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