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Simplifying -3(y + 7) = 2(-2y + -8) Reorder the terms: -3(7 + y) = 2(-2y + -8) (7 * -3 + y * -3) = 2(-2y + -8) (-21 + -3y) = 2(-2y + -8) Reorder the terms: -21 + -3y = 2(-8 + -2y) -21 + -3y = (-8 * 2 + -2y * 2) -21 + -3y = (-16 + -4y) Solving -21 + -3y = -16 + -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. -21 + -3y + 4y = -16 + -4y + 4y Combine like terms: -3y + 4y = 1y -21 + 1y = -16 + -4y + 4y Combine like terms: -4y + 4y = 0 -21 + 1y = -16 + 0 -21 + 1y = -16 Add '21' to each side of the equation. -21 + 21 + 1y = -16 + 21 Combine like terms: -21 + 21 = 0 0 + 1y = -16 + 21 1y = -16 + 21 Combine like terms: -16 + 21 = 5 1y = 5 Divide each side by '1'. y = 5 Simplifying y = 5
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