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Simplifying 4y + -6(y + 4) = 1 + -1y Reorder the terms: 4y + -6(4 + y) = 1 + -1y 4y + (4 * -6 + y * -6) = 1 + -1y 4y + (-24 + -6y) = 1 + -1y Reorder the terms: -24 + 4y + -6y = 1 + -1y Combine like terms: 4y + -6y = -2y -24 + -2y = 1 + -1y Solving -24 + -2y = 1 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -24 + -2y + y = 1 + -1y + y Combine like terms: -2y + y = -1y -24 + -1y = 1 + -1y + y Combine like terms: -1y + y = 0 -24 + -1y = 1 + 0 -24 + -1y = 1 Add '24' to each side of the equation. -24 + 24 + -1y = 1 + 24 Combine like terms: -24 + 24 = 0 0 + -1y = 1 + 24 -1y = 1 + 24 Combine like terms: 1 + 24 = 25 -1y = 25 Divide each side by '-1'. y = -25 Simplifying y = -25
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