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Simplifying 5(3y + -5) + 2 + -6(y + 7) = 0 Reorder the terms: 5(-5 + 3y) + 2 + -6(y + 7) = 0 (-5 * 5 + 3y * 5) + 2 + -6(y + 7) = 0 (-25 + 15y) + 2 + -6(y + 7) = 0 Reorder the terms: -25 + 15y + 2 + -6(7 + y) = 0 -25 + 15y + 2 + (7 * -6 + y * -6) = 0 -25 + 15y + 2 + (-42 + -6y) = 0 Reorder the terms: -25 + 2 + -42 + 15y + -6y = 0 Combine like terms: -25 + 2 = -23 -23 + -42 + 15y + -6y = 0 Combine like terms: -23 + -42 = -65 -65 + 15y + -6y = 0 Combine like terms: 15y + -6y = 9y -65 + 9y = 0 Solving -65 + 9y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 65 + 9y = 0 + 65 Combine like terms: -65 + 65 = 0 0 + 9y = 0 + 65 9y = 0 + 65 Combine like terms: 0 + 65 = 65 9y = 65 Divide each side by '9'. y = 7.222222222 Simplifying y = 7.222222222
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