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Simplifying -3 = 12y + -5(y + -7) Reorder the terms: -3 = 12y + -5(-7 + y) -3 = 12y + (-7 * -5 + y * -5) -3 = 12y + (35 + -5y) Reorder the terms: -3 = 35 + 12y + -5y Combine like terms: 12y + -5y = 7y -3 = 35 + 7y Solving -3 = 35 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -3 + -7y = 35 + 7y + -7y Combine like terms: 7y + -7y = 0 -3 + -7y = 35 + 0 -3 + -7y = 35 Add '3' to each side of the equation. -3 + 3 + -7y = 35 + 3 Combine like terms: -3 + 3 = 0 0 + -7y = 35 + 3 -7y = 35 + 3 Combine like terms: 35 + 3 = 38 -7y = 38 Divide each side by '-7'. y = -5.428571429 Simplifying y = -5.428571429
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