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Simplifying 3y + 13 = 4y + 6 Reorder the terms: 13 + 3y = 4y + 6 Reorder the terms: 13 + 3y = 6 + 4y Solving 13 + 3y = 6 + 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. 13 + 3y + -4y = 6 + 4y + -4y Combine like terms: 3y + -4y = -1y 13 + -1y = 6 + 4y + -4y Combine like terms: 4y + -4y = 0 13 + -1y = 6 + 0 13 + -1y = 6 Add '-13' to each side of the equation. 13 + -13 + -1y = 6 + -13 Combine like terms: 13 + -13 = 0 0 + -1y = 6 + -13 -1y = 6 + -13 Combine like terms: 6 + -13 = -7 -1y = -7 Divide each side by '-1'. y = 7 Simplifying y = 7
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