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Simplifying -7(y + -9) = -3y + 23 Reorder the terms: -7(-9 + y) = -3y + 23 (-9 * -7 + y * -7) = -3y + 23 (63 + -7y) = -3y + 23 Reorder the terms: 63 + -7y = 23 + -3y Solving 63 + -7y = 23 + -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. 63 + -7y + 3y = 23 + -3y + 3y Combine like terms: -7y + 3y = -4y 63 + -4y = 23 + -3y + 3y Combine like terms: -3y + 3y = 0 63 + -4y = 23 + 0 63 + -4y = 23 Add '-63' to each side of the equation. 63 + -63 + -4y = 23 + -63 Combine like terms: 63 + -63 = 0 0 + -4y = 23 + -63 -4y = 23 + -63 Combine like terms: 23 + -63 = -40 -4y = -40 Divide each side by '-4'. y = 10 Simplifying y = 10
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