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Simplifying 4 + 2y + -3 = 6y + 6 + -3y Reorder the terms: 4 + -3 + 2y = 6y + 6 + -3y Combine like terms: 4 + -3 = 1 1 + 2y = 6y + 6 + -3y Reorder the terms: 1 + 2y = 6 + 6y + -3y Combine like terms: 6y + -3y = 3y 1 + 2y = 6 + 3y Solving 1 + 2y = 6 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 1 + 2y + -3y = 6 + 3y + -3y Combine like terms: 2y + -3y = -1y 1 + -1y = 6 + 3y + -3y Combine like terms: 3y + -3y = 0 1 + -1y = 6 + 0 1 + -1y = 6 Add '-1' to each side of the equation. 1 + -1 + -1y = 6 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 6 + -1 -1y = 6 + -1 Combine like terms: 6 + -1 = 5 -1y = 5 Divide each side by '-1'. y = -5 Simplifying y = -5
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