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Simplifying 45 + 5y + -8 = 14y + -12 + -2y Reorder the terms: 45 + -8 + 5y = 14y + -12 + -2y Combine like terms: 45 + -8 = 37 37 + 5y = 14y + -12 + -2y Reorder the terms: 37 + 5y = -12 + 14y + -2y Combine like terms: 14y + -2y = 12y 37 + 5y = -12 + 12y Solving 37 + 5y = -12 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 37 + 5y + -12y = -12 + 12y + -12y Combine like terms: 5y + -12y = -7y 37 + -7y = -12 + 12y + -12y Combine like terms: 12y + -12y = 0 37 + -7y = -12 + 0 37 + -7y = -12 Add '-37' to each side of the equation. 37 + -37 + -7y = -12 + -37 Combine like terms: 37 + -37 = 0 0 + -7y = -12 + -37 -7y = -12 + -37 Combine like terms: -12 + -37 = -49 -7y = -49 Divide each side by '-7'. y = 7 Simplifying y = 7
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