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Simplifying 7y + 8 + 24 + -27y = 16 + -62y + -12 Reorder the terms: 8 + 24 + 7y + -27y = 16 + -62y + -12 Combine like terms: 8 + 24 = 32 32 + 7y + -27y = 16 + -62y + -12 Combine like terms: 7y + -27y = -20y 32 + -20y = 16 + -62y + -12 Reorder the terms: 32 + -20y = 16 + -12 + -62y Combine like terms: 16 + -12 = 4 32 + -20y = 4 + -62y Solving 32 + -20y = 4 + -62y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '62y' to each side of the equation. 32 + -20y + 62y = 4 + -62y + 62y Combine like terms: -20y + 62y = 42y 32 + 42y = 4 + -62y + 62y Combine like terms: -62y + 62y = 0 32 + 42y = 4 + 0 32 + 42y = 4 Add '-32' to each side of the equation. 32 + -32 + 42y = 4 + -32 Combine like terms: 32 + -32 = 0 0 + 42y = 4 + -32 42y = 4 + -32 Combine like terms: 4 + -32 = -28 42y = -28 Divide each side by '42'. y = -0.6666666667 Simplifying y = -0.6666666667
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