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Simplifying -2(-2y + 4) = 6(y + 3) Reorder the terms: -2(4 + -2y) = 6(y + 3) (4 * -2 + -2y * -2) = 6(y + 3) (-8 + 4y) = 6(y + 3) Reorder the terms: -8 + 4y = 6(3 + y) -8 + 4y = (3 * 6 + y * 6) -8 + 4y = (18 + 6y) Solving -8 + 4y = 18 + 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 + 4y + -6y = 18 + 6y + -6y Combine like terms: 4y + -6y = -2y -8 + -2y = 18 + 6y + -6y Combine like terms: 6y + -6y = 0 -8 + -2y = 18 + 0 -8 + -2y = 18 Add '8' to each side of the equation. -8 + 8 + -2y = 18 + 8 Combine like terms: -8 + 8 = 0 0 + -2y = 18 + 8 -2y = 18 + 8 Combine like terms: 18 + 8 = 26 -2y = 26 Divide each side by '-2'. y = -13 Simplifying y = -13
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