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Simplifying 3y + -14 = 12y + -1(17 + 15y) Reorder the terms: -14 + 3y = 12y + -1(17 + 15y) -14 + 3y = 12y + (17 * -1 + 15y * -1) -14 + 3y = 12y + (-17 + -15y) Reorder the terms: -14 + 3y = -17 + 12y + -15y Combine like terms: 12y + -15y = -3y -14 + 3y = -17 + -3y Solving -14 + 3y = -17 + -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. -14 + 3y + 3y = -17 + -3y + 3y Combine like terms: 3y + 3y = 6y -14 + 6y = -17 + -3y + 3y Combine like terms: -3y + 3y = 0 -14 + 6y = -17 + 0 -14 + 6y = -17 Add '14' to each side of the equation. -14 + 14 + 6y = -17 + 14 Combine like terms: -14 + 14 = 0 0 + 6y = -17 + 14 6y = -17 + 14 Combine like terms: -17 + 14 = -3 6y = -3 Divide each side by '6'. y = -0.5 Simplifying y = -0.5
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