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Simplifying 4y + -12 = -5y + 51 Reorder the terms: -12 + 4y = -5y + 51 Reorder the terms: -12 + 4y = 51 + -5y Solving -12 + 4y = 51 + -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 + 4y + 5y = 51 + -5y + 5y Combine like terms: 4y + 5y = 9y -12 + 9y = 51 + -5y + 5y Combine like terms: -5y + 5y = 0 -12 + 9y = 51 + 0 -12 + 9y = 51 Add '12' to each side of the equation. -12 + 12 + 9y = 51 + 12 Combine like terms: -12 + 12 = 0 0 + 9y = 51 + 12 9y = 51 + 12 Combine like terms: 51 + 12 = 63 9y = 63 Divide each side by '9'. y = 7 Simplifying y = 7
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