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Simplifying 5(y + -8) = 3(y + 2) Reorder the terms: 5(-8 + y) = 3(y + 2) (-8 * 5 + y * 5) = 3(y + 2) (-40 + 5y) = 3(y + 2) Reorder the terms: -40 + 5y = 3(2 + y) -40 + 5y = (2 * 3 + y * 3) -40 + 5y = (6 + 3y) Solving -40 + 5y = 6 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -40 + 5y + -3y = 6 + 3y + -3y Combine like terms: 5y + -3y = 2y -40 + 2y = 6 + 3y + -3y Combine like terms: 3y + -3y = 0 -40 + 2y = 6 + 0 -40 + 2y = 6 Add '40' to each side of the equation. -40 + 40 + 2y = 6 + 40 Combine like terms: -40 + 40 = 0 0 + 2y = 6 + 40 2y = 6 + 40 Combine like terms: 6 + 40 = 46 2y = 46 Divide each side by '2'. y = 23 Simplifying y = 23
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