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Simplifying 7(y + -3) = 3y + -45 Reorder the terms: 7(-3 + y) = 3y + -45 (-3 * 7 + y * 7) = 3y + -45 (-21 + 7y) = 3y + -45 Reorder the terms: -21 + 7y = -45 + 3y Solving -21 + 7y = -45 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -21 + 7y + -3y = -45 + 3y + -3y Combine like terms: 7y + -3y = 4y -21 + 4y = -45 + 3y + -3y Combine like terms: 3y + -3y = 0 -21 + 4y = -45 + 0 -21 + 4y = -45 Add '21' to each side of the equation. -21 + 21 + 4y = -45 + 21 Combine like terms: -21 + 21 = 0 0 + 4y = -45 + 21 4y = -45 + 21 Combine like terms: -45 + 21 = -24 4y = -24 Divide each side by '4'. y = -6 Simplifying y = -6
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