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Simplifying 4y + 12 = -2y + 36 Reorder the terms: 12 + 4y = -2y + 36 Reorder the terms: 12 + 4y = 36 + -2y Solving 12 + 4y = 36 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 12 + 4y + 2y = 36 + -2y + 2y Combine like terms: 4y + 2y = 6y 12 + 6y = 36 + -2y + 2y Combine like terms: -2y + 2y = 0 12 + 6y = 36 + 0 12 + 6y = 36 Add '-12' to each side of the equation. 12 + -12 + 6y = 36 + -12 Combine like terms: 12 + -12 = 0 0 + 6y = 36 + -12 6y = 36 + -12 Combine like terms: 36 + -12 = 24 6y = 24 Divide each side by '6'. y = 4 Simplifying y = 4
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