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Simplifying 2(3y + -6) + (5y + -8) = 92 Reorder the terms: 2(-6 + 3y) + (5y + -8) = 92 (-6 * 2 + 3y * 2) + (5y + -8) = 92 (-12 + 6y) + (5y + -8) = 92 Reorder the terms: -12 + 6y + (-8 + 5y) = 92 Remove parenthesis around (-8 + 5y) -12 + 6y + -8 + 5y = 92 Reorder the terms: -12 + -8 + 6y + 5y = 92 Combine like terms: -12 + -8 = -20 -20 + 6y + 5y = 92 Combine like terms: 6y + 5y = 11y -20 + 11y = 92 Solving -20 + 11y = 92 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 + 11y = 92 + 20 Combine like terms: -20 + 20 = 0 0 + 11y = 92 + 20 11y = 92 + 20 Combine like terms: 92 + 20 = 112 11y = 112 Divide each side by '11'. y = 10.18181818 Simplifying y = 10.18181818
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