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Simplifying (y2 + 3y + -4) + -1(4y + -6) = y2 + 6 Reorder the terms: (-4 + 3y + y2) + -1(4y + -6) = y2 + 6 Remove parenthesis around (-4 + 3y + y2) -4 + 3y + y2 + -1(4y + -6) = y2 + 6 Reorder the terms: -4 + 3y + y2 + -1(-6 + 4y) = y2 + 6 -4 + 3y + y2 + (-6 * -1 + 4y * -1) = y2 + 6 -4 + 3y + y2 + (6 + -4y) = y2 + 6 Reorder the terms: -4 + 6 + 3y + -4y + y2 = y2 + 6 Combine like terms: -4 + 6 = 2 2 + 3y + -4y + y2 = y2 + 6 Combine like terms: 3y + -4y = -1y 2 + -1y + y2 = y2 + 6 Reorder the terms: 2 + -1y + y2 = 6 + y2 Add '-1y2' to each side of the equation. 2 + -1y + y2 + -1y2 = 6 + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 2 + -1y + 0 = 6 + y2 + -1y2 2 + -1y = 6 + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 2 + -1y = 6 + 0 2 + -1y = 6 Solving 2 + -1y = 6 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1y = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 6 + -2 -1y = 6 + -2 Combine like terms: 6 + -2 = 4 -1y = 4 Divide each side by '-1'. y = -4 Simplifying y = -4
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