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Simplifying -13y + 12 = -3(2y + 2) Reorder the terms: 12 + -13y = -3(2y + 2) Reorder the terms: 12 + -13y = -3(2 + 2y) 12 + -13y = (2 * -3 + 2y * -3) 12 + -13y = (-6 + -6y) Solving 12 + -13y = -6 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 12 + -13y + 6y = -6 + -6y + 6y Combine like terms: -13y + 6y = -7y 12 + -7y = -6 + -6y + 6y Combine like terms: -6y + 6y = 0 12 + -7y = -6 + 0 12 + -7y = -6 Add '-12' to each side of the equation. 12 + -12 + -7y = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -7y = -6 + -12 -7y = -6 + -12 Combine like terms: -6 + -12 = -18 -7y = -18 Divide each side by '-7'. y = 2.571428571 Simplifying y = 2.571428571
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