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