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Simplifying 6(2y + -4) = 4(y + -3) Reorder the terms: 6(-4 + 2y) = 4(y + -3) (-4 * 6 + 2y * 6) = 4(y + -3) (-24 + 12y) = 4(y + -3) Reorder the terms: -24 + 12y = 4(-3 + y) -24 + 12y = (-3 * 4 + y * 4) -24 + 12y = (-12 + 4y) Solving -24 + 12y = -12 + 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. -24 + 12y + -4y = -12 + 4y + -4y Combine like terms: 12y + -4y = 8y -24 + 8y = -12 + 4y + -4y Combine like terms: 4y + -4y = 0 -24 + 8y = -12 + 0 -24 + 8y = -12 Add '24' to each side of the equation. -24 + 24 + 8y = -12 + 24 Combine like terms: -24 + 24 = 0 0 + 8y = -12 + 24 8y = -12 + 24 Combine like terms: -12 + 24 = 12 8y = 12 Divide each side by '8'. y = 1.5 Simplifying y = 1.5
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