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Simplifying 2y + 21 + -6y = -12 + y + -17 Reorder the terms: 21 + 2y + -6y = -12 + y + -17 Combine like terms: 2y + -6y = -4y 21 + -4y = -12 + y + -17 Reorder the terms: 21 + -4y = -12 + -17 + y Combine like terms: -12 + -17 = -29 21 + -4y = -29 + y Solving 21 + -4y = -29 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 21 + -4y + -1y = -29 + y + -1y Combine like terms: -4y + -1y = -5y 21 + -5y = -29 + y + -1y Combine like terms: y + -1y = 0 21 + -5y = -29 + 0 21 + -5y = -29 Add '-21' to each side of the equation. 21 + -21 + -5y = -29 + -21 Combine like terms: 21 + -21 = 0 0 + -5y = -29 + -21 -5y = -29 + -21 Combine like terms: -29 + -21 = -50 -5y = -50 Divide each side by '-5'. y = 10 Simplifying y = 10
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