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Simplifying 2(3y + -4) = 6 + 7y Reorder the terms: 2(-4 + 3y) = 6 + 7y (-4 * 2 + 3y * 2) = 6 + 7y (-8 + 6y) = 6 + 7y Solving -8 + 6y = 6 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -8 + 6y + -7y = 6 + 7y + -7y Combine like terms: 6y + -7y = -1y -8 + -1y = 6 + 7y + -7y Combine like terms: 7y + -7y = 0 -8 + -1y = 6 + 0 -8 + -1y = 6 Add '8' to each side of the equation. -8 + 8 + -1y = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -1y = 6 + 8 -1y = 6 + 8 Combine like terms: 6 + 8 = 14 -1y = 14 Divide each side by '-1'. y = -14 Simplifying y = -14
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