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Simplifying -2(3y + -6) + 4(5y + -8) = 93 Reorder the terms: -2(-6 + 3y) + 4(5y + -8) = 93 (-6 * -2 + 3y * -2) + 4(5y + -8) = 93 (12 + -6y) + 4(5y + -8) = 93 Reorder the terms: 12 + -6y + 4(-8 + 5y) = 93 12 + -6y + (-8 * 4 + 5y * 4) = 93 12 + -6y + (-32 + 20y) = 93 Reorder the terms: 12 + -32 + -6y + 20y = 93 Combine like terms: 12 + -32 = -20 -20 + -6y + 20y = 93 Combine like terms: -6y + 20y = 14y -20 + 14y = 93 Solving -20 + 14y = 93 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 14y = 93 + 20 Combine like terms: -20 + 20 = 0 0 + 14y = 93 + 20 14y = 93 + 20 Combine like terms: 93 + 20 = 113 14y = 113 Divide each side by '14'. y = 8.071428571 Simplifying y = 8.071428571
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