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Simplifying 5(y + -2) = 2y + 7 Reorder the terms: 5(-2 + y) = 2y + 7 (-2 * 5 + y * 5) = 2y + 7 (-10 + 5y) = 2y + 7 Reorder the terms: -10 + 5y = 7 + 2y Solving -10 + 5y = 7 + 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. -10 + 5y + -2y = 7 + 2y + -2y Combine like terms: 5y + -2y = 3y -10 + 3y = 7 + 2y + -2y Combine like terms: 2y + -2y = 0 -10 + 3y = 7 + 0 -10 + 3y = 7 Add '10' to each side of the equation. -10 + 10 + 3y = 7 + 10 Combine like terms: -10 + 10 = 0 0 + 3y = 7 + 10 3y = 7 + 10 Combine like terms: 7 + 10 = 17 3y = 17 Divide each side by '3'. y = 5.666666667 Simplifying y = 5.666666667
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