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Simplifying -2(2y + -3) + 6y = -4(y + 2) Reorder the terms: -2(-3 + 2y) + 6y = -4(y + 2) (-3 * -2 + 2y * -2) + 6y = -4(y + 2) (6 + -4y) + 6y = -4(y + 2) Combine like terms: -4y + 6y = 2y 6 + 2y = -4(y + 2) Reorder the terms: 6 + 2y = -4(2 + y) 6 + 2y = (2 * -4 + y * -4) 6 + 2y = (-8 + -4y) Solving 6 + 2y = -8 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 6 + 2y + 4y = -8 + -4y + 4y Combine like terms: 2y + 4y = 6y 6 + 6y = -8 + -4y + 4y Combine like terms: -4y + 4y = 0 6 + 6y = -8 + 0 6 + 6y = -8 Add '-6' to each side of the equation. 6 + -6 + 6y = -8 + -6 Combine like terms: 6 + -6 = 0 0 + 6y = -8 + -6 6y = -8 + -6 Combine like terms: -8 + -6 = -14 6y = -14 Divide each side by '6'. y = -2.333333333 Simplifying y = -2.333333333
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