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Simplifying -9(y + -7) = 6y + 33 Reorder the terms: -9(-7 + y) = 6y + 33 (-7 * -9 + y * -9) = 6y + 33 (63 + -9y) = 6y + 33 Reorder the terms: 63 + -9y = 33 + 6y Solving 63 + -9y = 33 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 63 + -9y + -6y = 33 + 6y + -6y Combine like terms: -9y + -6y = -15y 63 + -15y = 33 + 6y + -6y Combine like terms: 6y + -6y = 0 63 + -15y = 33 + 0 63 + -15y = 33 Add '-63' to each side of the equation. 63 + -63 + -15y = 33 + -63 Combine like terms: 63 + -63 = 0 0 + -15y = 33 + -63 -15y = 33 + -63 Combine like terms: 33 + -63 = -30 -15y = -30 Divide each side by '-15'. y = 2 Simplifying y = 2
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