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Simplifying -3(4y + -7) + 2(3y + 10) = 0 Reorder the terms: -3(-7 + 4y) + 2(3y + 10) = 0 (-7 * -3 + 4y * -3) + 2(3y + 10) = 0 (21 + -12y) + 2(3y + 10) = 0 Reorder the terms: 21 + -12y + 2(10 + 3y) = 0 21 + -12y + (10 * 2 + 3y * 2) = 0 21 + -12y + (20 + 6y) = 0 Reorder the terms: 21 + 20 + -12y + 6y = 0 Combine like terms: 21 + 20 = 41 41 + -12y + 6y = 0 Combine like terms: -12y + 6y = -6y 41 + -6y = 0 Solving 41 + -6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + -6y = 0 + -41 Combine like terms: 41 + -41 = 0 0 + -6y = 0 + -41 -6y = 0 + -41 Combine like terms: 0 + -41 = -41 -6y = -41 Divide each side by '-6'. y = 6.833333333 Simplifying y = 6.833333333
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