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Simplifying -6y + -46 = 8(y + -4) Reorder the terms: -46 + -6y = 8(y + -4) Reorder the terms: -46 + -6y = 8(-4 + y) -46 + -6y = (-4 * 8 + y * 8) -46 + -6y = (-32 + 8y) Solving -46 + -6y = -32 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -46 + -6y + -8y = -32 + 8y + -8y Combine like terms: -6y + -8y = -14y -46 + -14y = -32 + 8y + -8y Combine like terms: 8y + -8y = 0 -46 + -14y = -32 + 0 -46 + -14y = -32 Add '46' to each side of the equation. -46 + 46 + -14y = -32 + 46 Combine like terms: -46 + 46 = 0 0 + -14y = -32 + 46 -14y = -32 + 46 Combine like terms: -32 + 46 = 14 -14y = 14 Divide each side by '-14'. y = -1 Simplifying y = -1
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