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Simplifying 3(5 + y) = 8(y + -5) (5 * 3 + y * 3) = 8(y + -5) (15 + 3y) = 8(y + -5) Reorder the terms: 15 + 3y = 8(-5 + y) 15 + 3y = (-5 * 8 + y * 8) 15 + 3y = (-40 + 8y) Solving 15 + 3y = -40 + 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. 15 + 3y + -8y = -40 + 8y + -8y Combine like terms: 3y + -8y = -5y 15 + -5y = -40 + 8y + -8y Combine like terms: 8y + -8y = 0 15 + -5y = -40 + 0 15 + -5y = -40 Add '-15' to each side of the equation. 15 + -15 + -5y = -40 + -15 Combine like terms: 15 + -15 = 0 0 + -5y = -40 + -15 -5y = -40 + -15 Combine like terms: -40 + -15 = -55 -5y = -55 Divide each side by '-5'. y = 11 Simplifying y = 11
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