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Simplifying 3y + 4 + -7 = 2y + 1 Reorder the terms: 4 + -7 + 3y = 2y + 1 Combine like terms: 4 + -7 = -3 -3 + 3y = 2y + 1 Reorder the terms: -3 + 3y = 1 + 2y Solving -3 + 3y = 1 + 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. -3 + 3y + -2y = 1 + 2y + -2y Combine like terms: 3y + -2y = 1y -3 + 1y = 1 + 2y + -2y Combine like terms: 2y + -2y = 0 -3 + 1y = 1 + 0 -3 + 1y = 1 Add '3' to each side of the equation. -3 + 3 + 1y = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 1y = 1 + 3 1y = 1 + 3 Combine like terms: 1 + 3 = 4 1y = 4 Divide each side by '1'. y = 4 Simplifying y = 4
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