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Simplifying 84 + -19y = -420 + -7y Solving 84 + -19y = -420 + -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. 84 + -19y + 7y = -420 + -7y + 7y Combine like terms: -19y + 7y = -12y 84 + -12y = -420 + -7y + 7y Combine like terms: -7y + 7y = 0 84 + -12y = -420 + 0 84 + -12y = -420 Add '-84' to each side of the equation. 84 + -84 + -12y = -420 + -84 Combine like terms: 84 + -84 = 0 0 + -12y = -420 + -84 -12y = -420 + -84 Combine like terms: -420 + -84 = -504 -12y = -504 Divide each side by '-12'. y = 42 Simplifying y = 42
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