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Simplifying 42y + -45 + -81y = -32y + -7 + -2y Reorder the terms: -45 + 42y + -81y = -32y + -7 + -2y Combine like terms: 42y + -81y = -39y -45 + -39y = -32y + -7 + -2y Reorder the terms: -45 + -39y = -7 + -32y + -2y Combine like terms: -32y + -2y = -34y -45 + -39y = -7 + -34y Solving -45 + -39y = -7 + -34y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '34y' to each side of the equation. -45 + -39y + 34y = -7 + -34y + 34y Combine like terms: -39y + 34y = -5y -45 + -5y = -7 + -34y + 34y Combine like terms: -34y + 34y = 0 -45 + -5y = -7 + 0 -45 + -5y = -7 Add '45' to each side of the equation. -45 + 45 + -5y = -7 + 45 Combine like terms: -45 + 45 = 0 0 + -5y = -7 + 45 -5y = -7 + 45 Combine like terms: -7 + 45 = 38 -5y = 38 Divide each side by '-5'. y = -7.6 Simplifying y = -7.6
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