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Simplifying 2y + 12 = -5y + 19 Reorder the terms: 12 + 2y = -5y + 19 Reorder the terms: 12 + 2y = 19 + -5y Solving 12 + 2y = 19 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 12 + 2y + 5y = 19 + -5y + 5y Combine like terms: 2y + 5y = 7y 12 + 7y = 19 + -5y + 5y Combine like terms: -5y + 5y = 0 12 + 7y = 19 + 0 12 + 7y = 19 Add '-12' to each side of the equation. 12 + -12 + 7y = 19 + -12 Combine like terms: 12 + -12 = 0 0 + 7y = 19 + -12 7y = 19 + -12 Combine like terms: 19 + -12 = 7 7y = 7 Divide each side by '7'. y = 1 Simplifying y = 1
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