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Simplifying 2(y + -3) + -17 = 13 + -3(y + 2) Reorder the terms: 2(-3 + y) + -17 = 13 + -3(y + 2) (-3 * 2 + y * 2) + -17 = 13 + -3(y + 2) (-6 + 2y) + -17 = 13 + -3(y + 2) Reorder the terms: -6 + -17 + 2y = 13 + -3(y + 2) Combine like terms: -6 + -17 = -23 -23 + 2y = 13 + -3(y + 2) Reorder the terms: -23 + 2y = 13 + -3(2 + y) -23 + 2y = 13 + (2 * -3 + y * -3) -23 + 2y = 13 + (-6 + -3y) Combine like terms: 13 + -6 = 7 -23 + 2y = 7 + -3y Solving -23 + 2y = 7 + -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. -23 + 2y + 3y = 7 + -3y + 3y Combine like terms: 2y + 3y = 5y -23 + 5y = 7 + -3y + 3y Combine like terms: -3y + 3y = 0 -23 + 5y = 7 + 0 -23 + 5y = 7 Add '23' to each side of the equation. -23 + 23 + 5y = 7 + 23 Combine like terms: -23 + 23 = 0 0 + 5y = 7 + 23 5y = 7 + 23 Combine like terms: 7 + 23 = 30 5y = 30 Divide each side by '5'. y = 6 Simplifying y = 6
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