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Simplifying 3y(y + -2) + -1y2 = 2y2 + 4y + -7 Reorder the terms: 3y(-2 + y) + -1y2 = 2y2 + 4y + -7 (-2 * 3y + y * 3y) + -1y2 = 2y2 + 4y + -7 (-6y + 3y2) + -1y2 = 2y2 + 4y + -7 Combine like terms: 3y2 + -1y2 = 2y2 -6y + 2y2 = 2y2 + 4y + -7 Reorder the terms: -6y + 2y2 = -7 + 4y + 2y2 Add '-2y2' to each side of the equation. -6y + 2y2 + -2y2 = -7 + 4y + 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 -6y + 0 = -7 + 4y + 2y2 + -2y2 -6y = -7 + 4y + 2y2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 -6y = -7 + 4y + 0 -6y = -7 + 4y Solving -6y = -7 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -6y + -4y = -7 + 4y + -4y Combine like terms: -6y + -4y = -10y -10y = -7 + 4y + -4y Combine like terms: 4y + -4y = 0 -10y = -7 + 0 -10y = -7 Divide each side by '-10'. y = 0.7 Simplifying y = 0.7
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