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Simplifying 5(2y + -8) = 8(7 + y) Reorder the terms: 5(-8 + 2y) = 8(7 + y) (-8 * 5 + 2y * 5) = 8(7 + y) (-40 + 10y) = 8(7 + y) -40 + 10y = (7 * 8 + y * 8) -40 + 10y = (56 + 8y) Solving -40 + 10y = 56 + 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. -40 + 10y + -8y = 56 + 8y + -8y Combine like terms: 10y + -8y = 2y -40 + 2y = 56 + 8y + -8y Combine like terms: 8y + -8y = 0 -40 + 2y = 56 + 0 -40 + 2y = 56 Add '40' to each side of the equation. -40 + 40 + 2y = 56 + 40 Combine like terms: -40 + 40 = 0 0 + 2y = 56 + 40 2y = 56 + 40 Combine like terms: 56 + 40 = 96 2y = 96 Divide each side by '2'. y = 48 Simplifying y = 48
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