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Simplifying 7y + -2 = 12y + 43 Reorder the terms: -2 + 7y = 12y + 43 Reorder the terms: -2 + 7y = 43 + 12y Solving -2 + 7y = 43 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -2 + 7y + -12y = 43 + 12y + -12y Combine like terms: 7y + -12y = -5y -2 + -5y = 43 + 12y + -12y Combine like terms: 12y + -12y = 0 -2 + -5y = 43 + 0 -2 + -5y = 43 Add '2' to each side of the equation. -2 + 2 + -5y = 43 + 2 Combine like terms: -2 + 2 = 0 0 + -5y = 43 + 2 -5y = 43 + 2 Combine like terms: 43 + 2 = 45 -5y = 45 Divide each side by '-5'. y = -9 Simplifying y = -9
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