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Simplifying 12y + 32 + -2y = 4y + -32 + -3 Reorder the terms: 32 + 12y + -2y = 4y + -32 + -3 Combine like terms: 12y + -2y = 10y 32 + 10y = 4y + -32 + -3 Reorder the terms: 32 + 10y = -32 + -3 + 4y Combine like terms: -32 + -3 = -35 32 + 10y = -35 + 4y Solving 32 + 10y = -35 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 32 + 10y + -4y = -35 + 4y + -4y Combine like terms: 10y + -4y = 6y 32 + 6y = -35 + 4y + -4y Combine like terms: 4y + -4y = 0 32 + 6y = -35 + 0 32 + 6y = -35 Add '-32' to each side of the equation. 32 + -32 + 6y = -35 + -32 Combine like terms: 32 + -32 = 0 0 + 6y = -35 + -32 6y = -35 + -32 Combine like terms: -35 + -32 = -67 6y = -67 Divide each side by '6'. y = -11.16666667 Simplifying y = -11.16666667
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