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Simplifying -3y + -46 = 5(y + -6) Reorder the terms: -46 + -3y = 5(y + -6) Reorder the terms: -46 + -3y = 5(-6 + y) -46 + -3y = (-6 * 5 + y * 5) -46 + -3y = (-30 + 5y) Solving -46 + -3y = -30 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -46 + -3y + -5y = -30 + 5y + -5y Combine like terms: -3y + -5y = -8y -46 + -8y = -30 + 5y + -5y Combine like terms: 5y + -5y = 0 -46 + -8y = -30 + 0 -46 + -8y = -30 Add '46' to each side of the equation. -46 + 46 + -8y = -30 + 46 Combine like terms: -46 + 46 = 0 0 + -8y = -30 + 46 -8y = -30 + 46 Combine like terms: -30 + 46 = 16 -8y = 16 Divide each side by '-8'. y = -2 Simplifying y = -2
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