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Simplifying -7(y + -9) + -3y = -47 Reorder the terms: -7(-9 + y) + -3y = -47 (-9 * -7 + y * -7) + -3y = -47 (63 + -7y) + -3y = -47 Combine like terms: -7y + -3y = -10y 63 + -10y = -47 Solving 63 + -10y = -47 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + -10y = -47 + -63 Combine like terms: 63 + -63 = 0 0 + -10y = -47 + -63 -10y = -47 + -63 Combine like terms: -47 + -63 = -110 -10y = -110 Divide each side by '-10'. y = 11 Simplifying y = 11
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