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Simplifying 3y + 2(y + -8) = 5 + -2(y + -10) Reorder the terms: 3y + 2(-8 + y) = 5 + -2(y + -10) 3y + (-8 * 2 + y * 2) = 5 + -2(y + -10) 3y + (-16 + 2y) = 5 + -2(y + -10) Reorder the terms: -16 + 3y + 2y = 5 + -2(y + -10) Combine like terms: 3y + 2y = 5y -16 + 5y = 5 + -2(y + -10) Reorder the terms: -16 + 5y = 5 + -2(-10 + y) -16 + 5y = 5 + (-10 * -2 + y * -2) -16 + 5y = 5 + (20 + -2y) Combine like terms: 5 + 20 = 25 -16 + 5y = 25 + -2y Solving -16 + 5y = 25 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -16 + 5y + 2y = 25 + -2y + 2y Combine like terms: 5y + 2y = 7y -16 + 7y = 25 + -2y + 2y Combine like terms: -2y + 2y = 0 -16 + 7y = 25 + 0 -16 + 7y = 25 Add '16' to each side of the equation. -16 + 16 + 7y = 25 + 16 Combine like terms: -16 + 16 = 0 0 + 7y = 25 + 16 7y = 25 + 16 Combine like terms: 25 + 16 = 41 7y = 41 Divide each side by '7'. y = 5.857142857 Simplifying y = 5.857142857
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