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Simplifying 52 + 6y + -1 = 17y + -12 + -2y Reorder the terms: 52 + -1 + 6y = 17y + -12 + -2y Combine like terms: 52 + -1 = 51 51 + 6y = 17y + -12 + -2y Reorder the terms: 51 + 6y = -12 + 17y + -2y Combine like terms: 17y + -2y = 15y 51 + 6y = -12 + 15y Solving 51 + 6y = -12 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 51 + 6y + -15y = -12 + 15y + -15y Combine like terms: 6y + -15y = -9y 51 + -9y = -12 + 15y + -15y Combine like terms: 15y + -15y = 0 51 + -9y = -12 + 0 51 + -9y = -12 Add '-51' to each side of the equation. 51 + -51 + -9y = -12 + -51 Combine like terms: 51 + -51 = 0 0 + -9y = -12 + -51 -9y = -12 + -51 Combine like terms: -12 + -51 = -63 -9y = -63 Divide each side by '-9'. y = 7 Simplifying y = 7
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