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Simplifying 51 + 6y + -18 = 17y + -12 + -2y Reorder the terms: 51 + -18 + 6y = 17y + -12 + -2y Combine like terms: 51 + -18 = 33 33 + 6y = 17y + -12 + -2y Reorder the terms: 33 + 6y = -12 + 17y + -2y Combine like terms: 17y + -2y = 15y 33 + 6y = -12 + 15y Solving 33 + 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. 33 + 6y + -15y = -12 + 15y + -15y Combine like terms: 6y + -15y = -9y 33 + -9y = -12 + 15y + -15y Combine like terms: 15y + -15y = 0 33 + -9y = -12 + 0 33 + -9y = -12 Add '-33' to each side of the equation. 33 + -33 + -9y = -12 + -33 Combine like terms: 33 + -33 = 0 0 + -9y = -12 + -33 -9y = -12 + -33 Combine like terms: -12 + -33 = -45 -9y = -45 Divide each side by '-9'. y = 5 Simplifying y = 5
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