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Simplifying 8y + -46 = 5(y + -5) Reorder the terms: -46 + 8y = 5(y + -5) Reorder the terms: -46 + 8y = 5(-5 + y) -46 + 8y = (-5 * 5 + y * 5) -46 + 8y = (-25 + 5y) Solving -46 + 8y = -25 + 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 + 8y + -5y = -25 + 5y + -5y Combine like terms: 8y + -5y = 3y -46 + 3y = -25 + 5y + -5y Combine like terms: 5y + -5y = 0 -46 + 3y = -25 + 0 -46 + 3y = -25 Add '46' to each side of the equation. -46 + 46 + 3y = -25 + 46 Combine like terms: -46 + 46 = 0 0 + 3y = -25 + 46 3y = -25 + 46 Combine like terms: -25 + 46 = 21 3y = 21 Divide each side by '3'. y = 7 Simplifying y = 7
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