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Simplifying -7(y + 3) = -4y + -45 Reorder the terms: -7(3 + y) = -4y + -45 (3 * -7 + y * -7) = -4y + -45 (-21 + -7y) = -4y + -45 Reorder the terms: -21 + -7y = -45 + -4y Solving -21 + -7y = -45 + -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 + -7y + 4y = -45 + -4y + 4y Combine like terms: -7y + 4y = -3y -21 + -3y = -45 + -4y + 4y Combine like terms: -4y + 4y = 0 -21 + -3y = -45 + 0 -21 + -3y = -45 Add '21' to each side of the equation. -21 + 21 + -3y = -45 + 21 Combine like terms: -21 + 21 = 0 0 + -3y = -45 + 21 -3y = -45 + 21 Combine like terms: -45 + 21 = -24 -3y = -24 Divide each side by '-3'. y = 8 Simplifying y = 8
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