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Simplifying 7y + 2(y + -8) = 5(y + 2) + -5 Reorder the terms: 7y + 2(-8 + y) = 5(y + 2) + -5 7y + (-8 * 2 + y * 2) = 5(y + 2) + -5 7y + (-16 + 2y) = 5(y + 2) + -5 Reorder the terms: -16 + 7y + 2y = 5(y + 2) + -5 Combine like terms: 7y + 2y = 9y -16 + 9y = 5(y + 2) + -5 Reorder the terms: -16 + 9y = 5(2 + y) + -5 -16 + 9y = (2 * 5 + y * 5) + -5 -16 + 9y = (10 + 5y) + -5 Reorder the terms: -16 + 9y = 10 + -5 + 5y Combine like terms: 10 + -5 = 5 -16 + 9y = 5 + 5y Solving -16 + 9y = 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. -16 + 9y + -5y = 5 + 5y + -5y Combine like terms: 9y + -5y = 4y -16 + 4y = 5 + 5y + -5y Combine like terms: 5y + -5y = 0 -16 + 4y = 5 + 0 -16 + 4y = 5 Add '16' to each side of the equation. -16 + 16 + 4y = 5 + 16 Combine like terms: -16 + 16 = 0 0 + 4y = 5 + 16 4y = 5 + 16 Combine like terms: 5 + 16 = 21 4y = 21 Divide each side by '4'. y = 5.25 Simplifying y = 5.25
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