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Simplifying 5y + 12 = 7y + 16 Reorder the terms: 12 + 5y = 7y + 16 Reorder the terms: 12 + 5y = 16 + 7y Solving 12 + 5y = 16 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 12 + 5y + -7y = 16 + 7y + -7y Combine like terms: 5y + -7y = -2y 12 + -2y = 16 + 7y + -7y Combine like terms: 7y + -7y = 0 12 + -2y = 16 + 0 12 + -2y = 16 Add '-12' to each side of the equation. 12 + -12 + -2y = 16 + -12 Combine like terms: 12 + -12 = 0 0 + -2y = 16 + -12 -2y = 16 + -12 Combine like terms: 16 + -12 = 4 -2y = 4 Divide each side by '-2'. y = -2 Simplifying y = -2
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