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Simplifying 8y + (y + -7) = 5(y + 2) + -2 Reorder the terms: 8y + (-7 + y) = 5(y + 2) + -2 Remove parenthesis around (-7 + y) 8y + -7 + y = 5(y + 2) + -2 Reorder the terms: -7 + 8y + y = 5(y + 2) + -2 Combine like terms: 8y + y = 9y -7 + 9y = 5(y + 2) + -2 Reorder the terms: -7 + 9y = 5(2 + y) + -2 -7 + 9y = (2 * 5 + y * 5) + -2 -7 + 9y = (10 + 5y) + -2 Reorder the terms: -7 + 9y = 10 + -2 + 5y Combine like terms: 10 + -2 = 8 -7 + 9y = 8 + 5y Solving -7 + 9y = 8 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -7 + 9y + -5y = 8 + 5y + -5y Combine like terms: 9y + -5y = 4y -7 + 4y = 8 + 5y + -5y Combine like terms: 5y + -5y = 0 -7 + 4y = 8 + 0 -7 + 4y = 8 Add '7' to each side of the equation. -7 + 7 + 4y = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 4y = 8 + 7 4y = 8 + 7 Combine like terms: 8 + 7 = 15 4y = 15 Divide each side by '4'. y = 3.75 Simplifying y = 3.75
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