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Simplifying 12y + -12 + 5y + 6 = 30 + -1y Reorder the terms: -12 + 6 + 12y + 5y = 30 + -1y Combine like terms: -12 + 6 = -6 -6 + 12y + 5y = 30 + -1y Combine like terms: 12y + 5y = 17y -6 + 17y = 30 + -1y Solving -6 + 17y = 30 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -6 + 17y + y = 30 + -1y + y Combine like terms: 17y + y = 18y -6 + 18y = 30 + -1y + y Combine like terms: -1y + y = 0 -6 + 18y = 30 + 0 -6 + 18y = 30 Add '6' to each side of the equation. -6 + 6 + 18y = 30 + 6 Combine like terms: -6 + 6 = 0 0 + 18y = 30 + 6 18y = 30 + 6 Combine like terms: 30 + 6 = 36 18y = 36 Divide each side by '18'. y = 2 Simplifying y = 2
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