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Simplifying 7y + 2(y + -5) = 5(y + 1) + -2 Reorder the terms: 7y + 2(-5 + y) = 5(y + 1) + -2 7y + (-5 * 2 + y * 2) = 5(y + 1) + -2 7y + (-10 + 2y) = 5(y + 1) + -2 Reorder the terms: -10 + 7y + 2y = 5(y + 1) + -2 Combine like terms: 7y + 2y = 9y -10 + 9y = 5(y + 1) + -2 Reorder the terms: -10 + 9y = 5(1 + y) + -2 -10 + 9y = (1 * 5 + y * 5) + -2 -10 + 9y = (5 + 5y) + -2 Reorder the terms: -10 + 9y = 5 + -2 + 5y Combine like terms: 5 + -2 = 3 -10 + 9y = 3 + 5y Solving -10 + 9y = 3 + 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. -10 + 9y + -5y = 3 + 5y + -5y Combine like terms: 9y + -5y = 4y -10 + 4y = 3 + 5y + -5y Combine like terms: 5y + -5y = 0 -10 + 4y = 3 + 0 -10 + 4y = 3 Add '10' to each side of the equation. -10 + 10 + 4y = 3 + 10 Combine like terms: -10 + 10 = 0 0 + 4y = 3 + 10 4y = 3 + 10 Combine like terms: 3 + 10 = 13 4y = 13 Divide each side by '4'. y = 3.25 Simplifying y = 3.25
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