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Simplifying -2(3y + -6 + (5y + -8)) = 92 Reorder the terms: -2(3y + -6 + (-8 + 5y)) = 92 Remove parenthesis around (-8 + 5y) -2(3y + -6 + -8 + 5y) = 92 Reorder the terms: -2(-6 + -8 + 3y + 5y) = 92 Combine like terms: -6 + -8 = -14 -2(-14 + 3y + 5y) = 92 Combine like terms: 3y + 5y = 8y -2(-14 + 8y) = 92 (-14 * -2 + 8y * -2) = 92 (28 + -16y) = 92 Solving 28 + -16y = 92 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -16y = 92 + -28 Combine like terms: 28 + -28 = 0 0 + -16y = 92 + -28 -16y = 92 + -28 Combine like terms: 92 + -28 = 64 -16y = 64 Divide each side by '-16'. y = -4 Simplifying y = -4
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