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Simplifying -8y + -46 = -2(y + -4) Reorder the terms: -46 + -8y = -2(y + -4) Reorder the terms: -46 + -8y = -2(-4 + y) -46 + -8y = (-4 * -2 + y * -2) -46 + -8y = (8 + -2y) Solving -46 + -8y = 8 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -46 + -8y + 2y = 8 + -2y + 2y Combine like terms: -8y + 2y = -6y -46 + -6y = 8 + -2y + 2y Combine like terms: -2y + 2y = 0 -46 + -6y = 8 + 0 -46 + -6y = 8 Add '46' to each side of the equation. -46 + 46 + -6y = 8 + 46 Combine like terms: -46 + 46 = 0 0 + -6y = 8 + 46 -6y = 8 + 46 Combine like terms: 8 + 46 = 54 -6y = 54 Divide each side by '-6'. y = -9 Simplifying y = -9
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