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Simplifying 4(y + -6) = 7y + 6 Reorder the terms: 4(-6 + y) = 7y + 6 (-6 * 4 + y * 4) = 7y + 6 (-24 + 4y) = 7y + 6 Reorder the terms: -24 + 4y = 6 + 7y Solving -24 + 4y = 6 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -24 + 4y + -7y = 6 + 7y + -7y Combine like terms: 4y + -7y = -3y -24 + -3y = 6 + 7y + -7y Combine like terms: 7y + -7y = 0 -24 + -3y = 6 + 0 -24 + -3y = 6 Add '24' to each side of the equation. -24 + 24 + -3y = 6 + 24 Combine like terms: -24 + 24 = 0 0 + -3y = 6 + 24 -3y = 6 + 24 Combine like terms: 6 + 24 = 30 -3y = 30 Divide each side by '-3'. y = -10 Simplifying y = -10
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