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Simplifying 2(y + -4) = 17 + -3y Reorder the terms: 2(-4 + y) = 17 + -3y (-4 * 2 + y * 2) = 17 + -3y (-8 + 2y) = 17 + -3y Solving -8 + 2y = 17 + -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. -8 + 2y + 3y = 17 + -3y + 3y Combine like terms: 2y + 3y = 5y -8 + 5y = 17 + -3y + 3y Combine like terms: -3y + 3y = 0 -8 + 5y = 17 + 0 -8 + 5y = 17 Add '8' to each side of the equation. -8 + 8 + 5y = 17 + 8 Combine like terms: -8 + 8 = 0 0 + 5y = 17 + 8 5y = 17 + 8 Combine like terms: 17 + 8 = 25 5y = 25 Divide each side by '5'. y = 5 Simplifying y = 5
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