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Simplifying -48 + 5y + -7y = -84 + -8y + -36 Combine like terms: 5y + -7y = -2y -48 + -2y = -84 + -8y + -36 Reorder the terms: -48 + -2y = -84 + -36 + -8y Combine like terms: -84 + -36 = -120 -48 + -2y = -120 + -8y Solving -48 + -2y = -120 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -48 + -2y + 8y = -120 + -8y + 8y Combine like terms: -2y + 8y = 6y -48 + 6y = -120 + -8y + 8y Combine like terms: -8y + 8y = 0 -48 + 6y = -120 + 0 -48 + 6y = -120 Add '48' to each side of the equation. -48 + 48 + 6y = -120 + 48 Combine like terms: -48 + 48 = 0 0 + 6y = -120 + 48 6y = -120 + 48 Combine like terms: -120 + 48 = -72 6y = -72 Divide each side by '6'. y = -12 Simplifying y = -12
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