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Simplifying 3(2y + -4) = 13y + 2 Reorder the terms: 3(-4 + 2y) = 13y + 2 (-4 * 3 + 2y * 3) = 13y + 2 (-12 + 6y) = 13y + 2 Reorder the terms: -12 + 6y = 2 + 13y Solving -12 + 6y = 2 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. -12 + 6y + -13y = 2 + 13y + -13y Combine like terms: 6y + -13y = -7y -12 + -7y = 2 + 13y + -13y Combine like terms: 13y + -13y = 0 -12 + -7y = 2 + 0 -12 + -7y = 2 Add '12' to each side of the equation. -12 + 12 + -7y = 2 + 12 Combine like terms: -12 + 12 = 0 0 + -7y = 2 + 12 -7y = 2 + 12 Combine like terms: 2 + 12 = 14 -7y = 14 Divide each side by '-7'. y = -2 Simplifying y = -2
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