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Simplifying 6(y + -4) = 7(y + -4) Reorder the terms: 6(-4 + y) = 7(y + -4) (-4 * 6 + y * 6) = 7(y + -4) (-24 + 6y) = 7(y + -4) Reorder the terms: -24 + 6y = 7(-4 + y) -24 + 6y = (-4 * 7 + y * 7) -24 + 6y = (-28 + 7y) Solving -24 + 6y = -28 + 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 + 6y + -7y = -28 + 7y + -7y Combine like terms: 6y + -7y = -1y -24 + -1y = -28 + 7y + -7y Combine like terms: 7y + -7y = 0 -24 + -1y = -28 + 0 -24 + -1y = -28 Add '24' to each side of the equation. -24 + 24 + -1y = -28 + 24 Combine like terms: -24 + 24 = 0 0 + -1y = -28 + 24 -1y = -28 + 24 Combine like terms: -28 + 24 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4
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