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Simplifying 10 + -2(y + -7) = 3y + 9 Reorder the terms: 10 + -2(-7 + y) = 3y + 9 10 + (-7 * -2 + y * -2) = 3y + 9 10 + (14 + -2y) = 3y + 9 Combine like terms: 10 + 14 = 24 24 + -2y = 3y + 9 Reorder the terms: 24 + -2y = 9 + 3y Solving 24 + -2y = 9 + 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. 24 + -2y + -3y = 9 + 3y + -3y Combine like terms: -2y + -3y = -5y 24 + -5y = 9 + 3y + -3y Combine like terms: 3y + -3y = 0 24 + -5y = 9 + 0 24 + -5y = 9 Add '-24' to each side of the equation. 24 + -24 + -5y = 9 + -24 Combine like terms: 24 + -24 = 0 0 + -5y = 9 + -24 -5y = 9 + -24 Combine like terms: 9 + -24 = -15 -5y = -15 Divide each side by '-5'. y = 3 Simplifying y = 3
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