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Simplifying 4y + -1(3y + -6) = 2y + 4 Reorder the terms: 4y + -1(-6 + 3y) = 2y + 4 4y + (-6 * -1 + 3y * -1) = 2y + 4 4y + (6 + -3y) = 2y + 4 Reorder the terms: 6 + 4y + -3y = 2y + 4 Combine like terms: 4y + -3y = 1y 6 + 1y = 2y + 4 Reorder the terms: 6 + 1y = 4 + 2y Solving 6 + 1y = 4 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 6 + 1y + -2y = 4 + 2y + -2y Combine like terms: 1y + -2y = -1y 6 + -1y = 4 + 2y + -2y Combine like terms: 2y + -2y = 0 6 + -1y = 4 + 0 6 + -1y = 4 Add '-6' to each side of the equation. 6 + -6 + -1y = 4 + -6 Combine like terms: 6 + -6 = 0 0 + -1y = 4 + -6 -1y = 4 + -6 Combine like terms: 4 + -6 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2
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