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Simplifying 46 + 4y + -12 = 15y + -14 + -3y Reorder the terms: 46 + -12 + 4y = 15y + -14 + -3y Combine like terms: 46 + -12 = 34 34 + 4y = 15y + -14 + -3y Reorder the terms: 34 + 4y = -14 + 15y + -3y Combine like terms: 15y + -3y = 12y 34 + 4y = -14 + 12y Solving 34 + 4y = -14 + 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. 34 + 4y + -12y = -14 + 12y + -12y Combine like terms: 4y + -12y = -8y 34 + -8y = -14 + 12y + -12y Combine like terms: 12y + -12y = 0 34 + -8y = -14 + 0 34 + -8y = -14 Add '-34' to each side of the equation. 34 + -34 + -8y = -14 + -34 Combine like terms: 34 + -34 = 0 0 + -8y = -14 + -34 -8y = -14 + -34 Combine like terms: -14 + -34 = -48 -8y = -48 Divide each side by '-8'. y = 6 Simplifying y = 6
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