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Simplifying -81 + 13y + 4 = 6(3y + -4) + -8 Reorder the terms: -81 + 4 + 13y = 6(3y + -4) + -8 Combine like terms: -81 + 4 = -77 -77 + 13y = 6(3y + -4) + -8 Reorder the terms: -77 + 13y = 6(-4 + 3y) + -8 -77 + 13y = (-4 * 6 + 3y * 6) + -8 -77 + 13y = (-24 + 18y) + -8 Reorder the terms: -77 + 13y = -24 + -8 + 18y Combine like terms: -24 + -8 = -32 -77 + 13y = -32 + 18y Solving -77 + 13y = -32 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. -77 + 13y + -18y = -32 + 18y + -18y Combine like terms: 13y + -18y = -5y -77 + -5y = -32 + 18y + -18y Combine like terms: 18y + -18y = 0 -77 + -5y = -32 + 0 -77 + -5y = -32 Add '77' to each side of the equation. -77 + 77 + -5y = -32 + 77 Combine like terms: -77 + 77 = 0 0 + -5y = -32 + 77 -5y = -32 + 77 Combine like terms: -32 + 77 = 45 -5y = 45 Divide each side by '-5'. y = -9 Simplifying y = -9
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