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Simplifying -2(3y + -7) + 4(5y + -8) = 92 Reorder the terms: -2(-7 + 3y) + 4(5y + -8) = 92 (-7 * -2 + 3y * -2) + 4(5y + -8) = 92 (14 + -6y) + 4(5y + -8) = 92 Reorder the terms: 14 + -6y + 4(-8 + 5y) = 92 14 + -6y + (-8 * 4 + 5y * 4) = 92 14 + -6y + (-32 + 20y) = 92 Reorder the terms: 14 + -32 + -6y + 20y = 92 Combine like terms: 14 + -32 = -18 -18 + -6y + 20y = 92 Combine like terms: -6y + 20y = 14y -18 + 14y = 92 Solving -18 + 14y = 92 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 14y = 92 + 18 Combine like terms: -18 + 18 = 0 0 + 14y = 92 + 18 14y = 92 + 18 Combine like terms: 92 + 18 = 110 14y = 110 Divide each side by '14'. y = 7.857142857 Simplifying y = 7.857142857
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