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Simplifying -3y + 23 = 51 + y Reorder the terms: 23 + -3y = 51 + y Solving 23 + -3y = 51 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 23 + -3y + -1y = 51 + y + -1y Combine like terms: -3y + -1y = -4y 23 + -4y = 51 + y + -1y Combine like terms: y + -1y = 0 23 + -4y = 51 + 0 23 + -4y = 51 Add '-23' to each side of the equation. 23 + -23 + -4y = 51 + -23 Combine like terms: 23 + -23 = 0 0 + -4y = 51 + -23 -4y = 51 + -23 Combine like terms: 51 + -23 = 28 -4y = 28 Divide each side by '-4'. y = -7 Simplifying y = -7
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