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Simplifying (-7y) + -5 = 7y + 51 Reorder the terms: -5 + (-7y) = 7y + 51 Reorder the terms: -5 + (-7y) = 51 + 7y Solving -5 + (-7y) = 51 + 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. -5 + (-7y) + -7y = 51 + 7y + -7y Combine like terms: (-7y) + -7y = -14y -5 + -14y = 51 + 7y + -7y Combine like terms: 7y + -7y = 0 -5 + -14y = 51 + 0 -5 + -14y = 51 Add '5' to each side of the equation. -5 + 5 + -14y = 51 + 5 Combine like terms: -5 + 5 = 0 0 + -14y = 51 + 5 -14y = 51 + 5 Combine like terms: 51 + 5 = 56 -14y = 56 Divide each side by '-14'. y = -4 Simplifying y = -4
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