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Simplifying -6(-2y + 7) + -9y = 7(y + -5) + -9 Reorder the terms: -6(7 + -2y) + -9y = 7(y + -5) + -9 (7 * -6 + -2y * -6) + -9y = 7(y + -5) + -9 (-42 + 12y) + -9y = 7(y + -5) + -9 Combine like terms: 12y + -9y = 3y -42 + 3y = 7(y + -5) + -9 Reorder the terms: -42 + 3y = 7(-5 + y) + -9 -42 + 3y = (-5 * 7 + y * 7) + -9 -42 + 3y = (-35 + 7y) + -9 Reorder the terms: -42 + 3y = -35 + -9 + 7y Combine like terms: -35 + -9 = -44 -42 + 3y = -44 + 7y Solving -42 + 3y = -44 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -42 + 3y + -7y = -44 + 7y + -7y Combine like terms: 3y + -7y = -4y -42 + -4y = -44 + 7y + -7y Combine like terms: 7y + -7y = 0 -42 + -4y = -44 + 0 -42 + -4y = -44 Add '42' to each side of the equation. -42 + 42 + -4y = -44 + 42 Combine like terms: -42 + 42 = 0 0 + -4y = -44 + 42 -4y = -44 + 42 Combine like terms: -44 + 42 = -2 -4y = -2 Divide each side by '-4'. y = 0.5 Simplifying y = 0.5
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