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Simplifying -2(3y + -4) = 2(y + -6) Reorder the terms: -2(-4 + 3y) = 2(y + -6) (-4 * -2 + 3y * -2) = 2(y + -6) (8 + -6y) = 2(y + -6) Reorder the terms: 8 + -6y = 2(-6 + y) 8 + -6y = (-6 * 2 + y * 2) 8 + -6y = (-12 + 2y) Solving 8 + -6y = -12 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 8 + -6y + -2y = -12 + 2y + -2y Combine like terms: -6y + -2y = -8y 8 + -8y = -12 + 2y + -2y Combine like terms: 2y + -2y = 0 8 + -8y = -12 + 0 8 + -8y = -12 Add '-8' to each side of the equation. 8 + -8 + -8y = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -8y = -12 + -8 -8y = -12 + -8 Combine like terms: -12 + -8 = -20 -8y = -20 Divide each side by '-8'. y = 2.5 Simplifying y = 2.5
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