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Simplifying 3y + 6 = 4y + -7 + 8 Reorder the terms: 6 + 3y = 4y + -7 + 8 Reorder the terms: 6 + 3y = -7 + 8 + 4y Combine like terms: -7 + 8 = 1 6 + 3y = 1 + 4y Solving 6 + 3y = 1 + 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. 6 + 3y + -4y = 1 + 4y + -4y Combine like terms: 3y + -4y = -1y 6 + -1y = 1 + 4y + -4y Combine like terms: 4y + -4y = 0 6 + -1y = 1 + 0 6 + -1y = 1 Add '-6' to each side of the equation. 6 + -6 + -1y = 1 + -6 Combine like terms: 6 + -6 = 0 0 + -1y = 1 + -6 -1y = 1 + -6 Combine like terms: 1 + -6 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5
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