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Simplifying 5(y + -8) + y = 2(y + 5) + -2 Reorder the terms: 5(-8 + y) + y = 2(y + 5) + -2 (-8 * 5 + y * 5) + y = 2(y + 5) + -2 (-40 + 5y) + y = 2(y + 5) + -2 Combine like terms: 5y + y = 6y -40 + 6y = 2(y + 5) + -2 Reorder the terms: -40 + 6y = 2(5 + y) + -2 -40 + 6y = (5 * 2 + y * 2) + -2 -40 + 6y = (10 + 2y) + -2 Reorder the terms: -40 + 6y = 10 + -2 + 2y Combine like terms: 10 + -2 = 8 -40 + 6y = 8 + 2y Solving -40 + 6y = 8 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -40 + 6y + -2y = 8 + 2y + -2y Combine like terms: 6y + -2y = 4y -40 + 4y = 8 + 2y + -2y Combine like terms: 2y + -2y = 0 -40 + 4y = 8 + 0 -40 + 4y = 8 Add '40' to each side of the equation. -40 + 40 + 4y = 8 + 40 Combine like terms: -40 + 40 = 0 0 + 4y = 8 + 40 4y = 8 + 40 Combine like terms: 8 + 40 = 48 4y = 48 Divide each side by '4'. y = 12 Simplifying y = 12
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