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Simplifying 17 + -3 = 12y + -5(2y + -7) Combine like terms: 17 + -3 = 14 14 = 12y + -5(2y + -7) Reorder the terms: 14 = 12y + -5(-7 + 2y) 14 = 12y + (-7 * -5 + 2y * -5) 14 = 12y + (35 + -10y) Reorder the terms: 14 = 35 + 12y + -10y Combine like terms: 12y + -10y = 2y 14 = 35 + 2y Solving 14 = 35 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 14 + -2y = 35 + 2y + -2y Combine like terms: 2y + -2y = 0 14 + -2y = 35 + 0 14 + -2y = 35 Add '-14' to each side of the equation. 14 + -14 + -2y = 35 + -14 Combine like terms: 14 + -14 = 0 0 + -2y = 35 + -14 -2y = 35 + -14 Combine like terms: 35 + -14 = 21 -2y = 21 Divide each side by '-2'. y = -10.5 Simplifying y = -10.5
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