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Simplifying 5y + 14 + -2 = 3y + -7 Reorder the terms: 14 + -2 + 5y = 3y + -7 Combine like terms: 14 + -2 = 12 12 + 5y = 3y + -7 Reorder the terms: 12 + 5y = -7 + 3y Solving 12 + 5y = -7 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 12 + 5y + -3y = -7 + 3y + -3y Combine like terms: 5y + -3y = 2y 12 + 2y = -7 + 3y + -3y Combine like terms: 3y + -3y = 0 12 + 2y = -7 + 0 12 + 2y = -7 Add '-12' to each side of the equation. 12 + -12 + 2y = -7 + -12 Combine like terms: 12 + -12 = 0 0 + 2y = -7 + -12 2y = -7 + -12 Combine like terms: -7 + -12 = -19 2y = -19 Divide each side by '2'. y = -9.5 Simplifying y = -9.5
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