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Simplifying 7y + -4 = 12y + 21 Reorder the terms: -4 + 7y = 12y + 21 Reorder the terms: -4 + 7y = 21 + 12y Solving -4 + 7y = 21 + 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. -4 + 7y + -12y = 21 + 12y + -12y Combine like terms: 7y + -12y = -5y -4 + -5y = 21 + 12y + -12y Combine like terms: 12y + -12y = 0 -4 + -5y = 21 + 0 -4 + -5y = 21 Add '4' to each side of the equation. -4 + 4 + -5y = 21 + 4 Combine like terms: -4 + 4 = 0 0 + -5y = 21 + 4 -5y = 21 + 4 Combine like terms: 21 + 4 = 25 -5y = 25 Divide each side by '-5'. y = -5 Simplifying y = -5
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