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Simplifying 3(2y + -4) + 2y = 7y + -11 Reorder the terms: 3(-4 + 2y) + 2y = 7y + -11 (-4 * 3 + 2y * 3) + 2y = 7y + -11 (-12 + 6y) + 2y = 7y + -11 Combine like terms: 6y + 2y = 8y -12 + 8y = 7y + -11 Reorder the terms: -12 + 8y = -11 + 7y Solving -12 + 8y = -11 + 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. -12 + 8y + -7y = -11 + 7y + -7y Combine like terms: 8y + -7y = 1y -12 + 1y = -11 + 7y + -7y Combine like terms: 7y + -7y = 0 -12 + 1y = -11 + 0 -12 + 1y = -11 Add '12' to each side of the equation. -12 + 12 + 1y = -11 + 12 Combine like terms: -12 + 12 = 0 0 + 1y = -11 + 12 1y = -11 + 12 Combine like terms: -11 + 12 = 1 1y = 1 Divide each side by '1'. y = 1 Simplifying y = 1
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