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Simplifying 7y + 4(y + -8) = 5(y + 2) + -5 Reorder the terms: 7y + 4(-8 + y) = 5(y + 2) + -5 7y + (-8 * 4 + y * 4) = 5(y + 2) + -5 7y + (-32 + 4y) = 5(y + 2) + -5 Reorder the terms: -32 + 7y + 4y = 5(y + 2) + -5 Combine like terms: 7y + 4y = 11y -32 + 11y = 5(y + 2) + -5 Reorder the terms: -32 + 11y = 5(2 + y) + -5 -32 + 11y = (2 * 5 + y * 5) + -5 -32 + 11y = (10 + 5y) + -5 Reorder the terms: -32 + 11y = 10 + -5 + 5y Combine like terms: 10 + -5 = 5 -32 + 11y = 5 + 5y Solving -32 + 11y = 5 + 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. -32 + 11y + -5y = 5 + 5y + -5y Combine like terms: 11y + -5y = 6y -32 + 6y = 5 + 5y + -5y Combine like terms: 5y + -5y = 0 -32 + 6y = 5 + 0 -32 + 6y = 5 Add '32' to each side of the equation. -32 + 32 + 6y = 5 + 32 Combine like terms: -32 + 32 = 0 0 + 6y = 5 + 32 6y = 5 + 32 Combine like terms: 5 + 32 = 37 6y = 37 Divide each side by '6'. y = 6.166666667 Simplifying y = 6.166666667
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