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Simplifying 42y + -45 + -81y = -32y + -7y + -2y Reorder the terms: -45 + 42y + -81y = -32y + -7y + -2y Combine like terms: 42y + -81y = -39y -45 + -39y = -32y + -7y + -2y Combine like terms: -32y + -7y = -39y -45 + -39y = -39y + -2y Combine like terms: -39y + -2y = -41y -45 + -39y = -41y Solving -45 + -39y = -41y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '41y' to each side of the equation. -45 + -39y + 41y = -41y + 41y Combine like terms: -39y + 41y = 2y -45 + 2y = -41y + 41y Combine like terms: -41y + 41y = 0 -45 + 2y = 0 Add '45' to each side of the equation. -45 + 45 + 2y = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 2y = 0 + 45 2y = 0 + 45 Combine like terms: 0 + 45 = 45 2y = 45 Divide each side by '2'. y = 22.5 Simplifying y = 22.5
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