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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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