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Simplifying 7y + 2(y + -8) = 4(y + 2) + -5 Reorder the terms: 7y + 2(-8 + y) = 4(y + 2) + -5 7y + (-8 * 2 + y * 2) = 4(y + 2) + -5 7y + (-16 + 2y) = 4(y + 2) + -5 Reorder the terms: -16 + 7y + 2y = 4(y + 2) + -5 Combine like terms: 7y + 2y = 9y -16 + 9y = 4(y + 2) + -5 Reorder the terms: -16 + 9y = 4(2 + y) + -5 -16 + 9y = (2 * 4 + y * 4) + -5 -16 + 9y = (8 + 4y) + -5 Reorder the terms: -16 + 9y = 8 + -5 + 4y Combine like terms: 8 + -5 = 3 -16 + 9y = 3 + 4y Solving -16 + 9y = 3 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -16 + 9y + -4y = 3 + 4y + -4y Combine like terms: 9y + -4y = 5y -16 + 5y = 3 + 4y + -4y Combine like terms: 4y + -4y = 0 -16 + 5y = 3 + 0 -16 + 5y = 3 Add '16' to each side of the equation. -16 + 16 + 5y = 3 + 16 Combine like terms: -16 + 16 = 0 0 + 5y = 3 + 16 5y = 3 + 16 Combine like terms: 3 + 16 = 19 5y = 19 Divide each side by '5'. y = 3.8 Simplifying y = 3.8
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