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Simplifying -7(y + -5) = -6y + -2 Reorder the terms: -7(-5 + y) = -6y + -2 (-5 * -7 + y * -7) = -6y + -2 (35 + -7y) = -6y + -2 Reorder the terms: 35 + -7y = -2 + -6y Solving 35 + -7y = -2 + -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. 35 + -7y + 6y = -2 + -6y + 6y Combine like terms: -7y + 6y = -1y 35 + -1y = -2 + -6y + 6y Combine like terms: -6y + 6y = 0 35 + -1y = -2 + 0 35 + -1y = -2 Add '-35' to each side of the equation. 35 + -35 + -1y = -2 + -35 Combine like terms: 35 + -35 = 0 0 + -1y = -2 + -35 -1y = -2 + -35 Combine like terms: -2 + -35 = -37 -1y = -37 Divide each side by '-1'. y = 37 Simplifying y = 37
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