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Simplifying -1(y + 7) + 2 = 2(-3y + -1) + 4y Reorder the terms: -1(7 + y) + 2 = 2(-3y + -1) + 4y (7 * -1 + y * -1) + 2 = 2(-3y + -1) + 4y (-7 + -1y) + 2 = 2(-3y + -1) + 4y Reorder the terms: -7 + 2 + -1y = 2(-3y + -1) + 4y Combine like terms: -7 + 2 = -5 -5 + -1y = 2(-3y + -1) + 4y Reorder the terms: -5 + -1y = 2(-1 + -3y) + 4y -5 + -1y = (-1 * 2 + -3y * 2) + 4y -5 + -1y = (-2 + -6y) + 4y Combine like terms: -6y + 4y = -2y -5 + -1y = -2 + -2y Solving -5 + -1y = -2 + -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. -5 + -1y + 2y = -2 + -2y + 2y Combine like terms: -1y + 2y = 1y -5 + 1y = -2 + -2y + 2y Combine like terms: -2y + 2y = 0 -5 + 1y = -2 + 0 -5 + 1y = -2 Add '5' to each side of the equation. -5 + 5 + 1y = -2 + 5 Combine like terms: -5 + 5 = 0 0 + 1y = -2 + 5 1y = -2 + 5 Combine like terms: -2 + 5 = 3 1y = 3 Divide each side by '1'. y = 3 Simplifying y = 3
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