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Simplifying -2(3y + -6) = 92 + -4(5y + -8) Reorder the terms: -2(-6 + 3y) = 92 + -4(5y + -8) (-6 * -2 + 3y * -2) = 92 + -4(5y + -8) (12 + -6y) = 92 + -4(5y + -8) Reorder the terms: 12 + -6y = 92 + -4(-8 + 5y) 12 + -6y = 92 + (-8 * -4 + 5y * -4) 12 + -6y = 92 + (32 + -20y) Combine like terms: 92 + 32 = 124 12 + -6y = 124 + -20y Solving 12 + -6y = 124 + -20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '20y' to each side of the equation. 12 + -6y + 20y = 124 + -20y + 20y Combine like terms: -6y + 20y = 14y 12 + 14y = 124 + -20y + 20y Combine like terms: -20y + 20y = 0 12 + 14y = 124 + 0 12 + 14y = 124 Add '-12' to each side of the equation. 12 + -12 + 14y = 124 + -12 Combine like terms: 12 + -12 = 0 0 + 14y = 124 + -12 14y = 124 + -12 Combine like terms: 124 + -12 = 112 14y = 112 Divide each side by '14'. y = 8 Simplifying y = 8
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