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Simplifying -32 + 14y + -37y + 23y = -31y + -12 + 29y + 34y Combine like terms: 14y + -37y = -23y -32 + -23y + 23y = -31y + -12 + 29y + 34y Combine like terms: -23y + 23y = 0 -32 + 0 = -31y + -12 + 29y + 34y -32 = -31y + -12 + 29y + 34y Reorder the terms: -32 = -12 + -31y + 29y + 34y Combine like terms: -31y + 29y = -2y -32 = -12 + -2y + 34y Combine like terms: -2y + 34y = 32y -32 = -12 + 32y Solving -32 = -12 + 32y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-32y' to each side of the equation. -32 + -32y = -12 + 32y + -32y Combine like terms: 32y + -32y = 0 -32 + -32y = -12 + 0 -32 + -32y = -12 Add '32' to each side of the equation. -32 + 32 + -32y = -12 + 32 Combine like terms: -32 + 32 = 0 0 + -32y = -12 + 32 -32y = -12 + 32 Combine like terms: -12 + 32 = 20 -32y = 20 Divide each side by '-32'. y = -0.625 Simplifying y = -0.625
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