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Simplifying 14y + 51 = 10y + 7 Reorder the terms: 51 + 14y = 10y + 7 Reorder the terms: 51 + 14y = 7 + 10y Solving 51 + 14y = 7 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 51 + 14y + -10y = 7 + 10y + -10y Combine like terms: 14y + -10y = 4y 51 + 4y = 7 + 10y + -10y Combine like terms: 10y + -10y = 0 51 + 4y = 7 + 0 51 + 4y = 7 Add '-51' to each side of the equation. 51 + -51 + 4y = 7 + -51 Combine like terms: 51 + -51 = 0 0 + 4y = 7 + -51 4y = 7 + -51 Combine like terms: 7 + -51 = -44 4y = -44 Divide each side by '4'. y = -11 Simplifying y = -11
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