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Simplifying 3 + -7y + 5 = 4y + 12 + -7y Reorder the terms: 3 + 5 + -7y = 4y + 12 + -7y Combine like terms: 3 + 5 = 8 8 + -7y = 4y + 12 + -7y Reorder the terms: 8 + -7y = 12 + 4y + -7y Combine like terms: 4y + -7y = -3y 8 + -7y = 12 + -3y Solving 8 + -7y = 12 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 8 + -7y + 3y = 12 + -3y + 3y Combine like terms: -7y + 3y = -4y 8 + -4y = 12 + -3y + 3y Combine like terms: -3y + 3y = 0 8 + -4y = 12 + 0 8 + -4y = 12 Add '-8' to each side of the equation. 8 + -8 + -4y = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -4y = 12 + -8 -4y = 12 + -8 Combine like terms: 12 + -8 = 4 -4y = 4 Divide each side by '-4'. y = -1 Simplifying y = -1
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