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Simplifying 12y + 5 = 5(y + -7) + -3y Reorder the terms: 5 + 12y = 5(y + -7) + -3y Reorder the terms: 5 + 12y = 5(-7 + y) + -3y 5 + 12y = (-7 * 5 + y * 5) + -3y 5 + 12y = (-35 + 5y) + -3y Combine like terms: 5y + -3y = 2y 5 + 12y = -35 + 2y Solving 5 + 12y = -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. 5 + 12y + -2y = -35 + 2y + -2y Combine like terms: 12y + -2y = 10y 5 + 10y = -35 + 2y + -2y Combine like terms: 2y + -2y = 0 5 + 10y = -35 + 0 5 + 10y = -35 Add '-5' to each side of the equation. 5 + -5 + 10y = -35 + -5 Combine like terms: 5 + -5 = 0 0 + 10y = -35 + -5 10y = -35 + -5 Combine like terms: -35 + -5 = -40 10y = -40 Divide each side by '10'. y = -4 Simplifying y = -4
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