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Simplifying 4(y + -1) + -2 = 3y + -1 Reorder the terms: 4(-1 + y) + -2 = 3y + -1 (-1 * 4 + y * 4) + -2 = 3y + -1 (-4 + 4y) + -2 = 3y + -1 Reorder the terms: -4 + -2 + 4y = 3y + -1 Combine like terms: -4 + -2 = -6 -6 + 4y = 3y + -1 Reorder the terms: -6 + 4y = -1 + 3y Solving -6 + 4y = -1 + 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. -6 + 4y + -3y = -1 + 3y + -3y Combine like terms: 4y + -3y = 1y -6 + 1y = -1 + 3y + -3y Combine like terms: 3y + -3y = 0 -6 + 1y = -1 + 0 -6 + 1y = -1 Add '6' to each side of the equation. -6 + 6 + 1y = -1 + 6 Combine like terms: -6 + 6 = 0 0 + 1y = -1 + 6 1y = -1 + 6 Combine like terms: -1 + 6 = 5 1y = 5 Divide each side by '1'. y = 5 Simplifying y = 5
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