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Simplifying 4(y + -6) = -3y + 4 Reorder the terms: 4(-6 + y) = -3y + 4 (-6 * 4 + y * 4) = -3y + 4 (-24 + 4y) = -3y + 4 Reorder the terms: -24 + 4y = 4 + -3y Solving -24 + 4y = 4 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -24 + 4y + 3y = 4 + -3y + 3y Combine like terms: 4y + 3y = 7y -24 + 7y = 4 + -3y + 3y Combine like terms: -3y + 3y = 0 -24 + 7y = 4 + 0 -24 + 7y = 4 Add '24' to each side of the equation. -24 + 24 + 7y = 4 + 24 Combine like terms: -24 + 24 = 0 0 + 7y = 4 + 24 7y = 4 + 24 Combine like terms: 4 + 24 = 28 7y = 28 Divide each side by '7'. y = 4 Simplifying y = 4
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