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Simplifying 5y + 2(y + -8) = 3(y + 2) + -3 Reorder the terms: 5y + 2(-8 + y) = 3(y + 2) + -3 5y + (-8 * 2 + y * 2) = 3(y + 2) + -3 5y + (-16 + 2y) = 3(y + 2) + -3 Reorder the terms: -16 + 5y + 2y = 3(y + 2) + -3 Combine like terms: 5y + 2y = 7y -16 + 7y = 3(y + 2) + -3 Reorder the terms: -16 + 7y = 3(2 + y) + -3 -16 + 7y = (2 * 3 + y * 3) + -3 -16 + 7y = (6 + 3y) + -3 Reorder the terms: -16 + 7y = 6 + -3 + 3y Combine like terms: 6 + -3 = 3 -16 + 7y = 3 + 3y Solving -16 + 7y = 3 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -16 + 7y + -3y = 3 + 3y + -3y Combine like terms: 7y + -3y = 4y -16 + 4y = 3 + 3y + -3y Combine like terms: 3y + -3y = 0 -16 + 4y = 3 + 0 -16 + 4y = 3 Add '16' to each side of the equation. -16 + 16 + 4y = 3 + 16 Combine like terms: -16 + 16 = 0 0 + 4y = 3 + 16 4y = 3 + 16 Combine like terms: 3 + 16 = 19 4y = 19 Divide each side by '4'. y = 4.75 Simplifying y = 4.75
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