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Simplifying -3 = 12y + -5(3y + -7) Reorder the terms: -3 = 12y + -5(-7 + 3y) -3 = 12y + (-7 * -5 + 3y * -5) -3 = 12y + (35 + -15y) Reorder the terms: -3 = 35 + 12y + -15y Combine like terms: 12y + -15y = -3y -3 = 35 + -3y Solving -3 = 35 + -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. -3 + 3y = 35 + -3y + 3y Combine like terms: -3y + 3y = 0 -3 + 3y = 35 + 0 -3 + 3y = 35 Add '3' to each side of the equation. -3 + 3 + 3y = 35 + 3 Combine like terms: -3 + 3 = 0 0 + 3y = 35 + 3 3y = 35 + 3 Combine like terms: 35 + 3 = 38 3y = 38 Divide each side by '3'. y = 12.66666667 Simplifying y = 12.66666667
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