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Simplifying 3y + -4(y + 2) = 2(3y + -2) Reorder the terms: 3y + -4(2 + y) = 2(3y + -2) 3y + (2 * -4 + y * -4) = 2(3y + -2) 3y + (-8 + -4y) = 2(3y + -2) Reorder the terms: -8 + 3y + -4y = 2(3y + -2) Combine like terms: 3y + -4y = -1y -8 + -1y = 2(3y + -2) Reorder the terms: -8 + -1y = 2(-2 + 3y) -8 + -1y = (-2 * 2 + 3y * 2) -8 + -1y = (-4 + 6y) Solving -8 + -1y = -4 + 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. -8 + -1y + -6y = -4 + 6y + -6y Combine like terms: -1y + -6y = -7y -8 + -7y = -4 + 6y + -6y Combine like terms: 6y + -6y = 0 -8 + -7y = -4 + 0 -8 + -7y = -4 Add '8' to each side of the equation. -8 + 8 + -7y = -4 + 8 Combine like terms: -8 + 8 = 0 0 + -7y = -4 + 8 -7y = -4 + 8 Combine like terms: -4 + 8 = 4 -7y = 4 Divide each side by '-7'. y = -0.5714285714 Simplifying y = -0.5714285714
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