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Simplifying -4(-4y + 7) + -9y = (y + -7) + -1 Reorder the terms: -4(7 + -4y) + -9y = (y + -7) + -1 (7 * -4 + -4y * -4) + -9y = (y + -7) + -1 (-28 + 16y) + -9y = (y + -7) + -1 Combine like terms: 16y + -9y = 7y -28 + 7y = (y + -7) + -1 Reorder the terms: -28 + 7y = (-7 + y) + -1 Remove parenthesis around (-7 + y) -28 + 7y = -7 + y + -1 Reorder the terms: -28 + 7y = -7 + -1 + y Combine like terms: -7 + -1 = -8 -28 + 7y = -8 + y Solving -28 + 7y = -8 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -28 + 7y + -1y = -8 + y + -1y Combine like terms: 7y + -1y = 6y -28 + 6y = -8 + y + -1y Combine like terms: y + -1y = 0 -28 + 6y = -8 + 0 -28 + 6y = -8 Add '28' to each side of the equation. -28 + 28 + 6y = -8 + 28 Combine like terms: -28 + 28 = 0 0 + 6y = -8 + 28 6y = -8 + 28 Combine like terms: -8 + 28 = 20 6y = 20 Divide each side by '6'. y = 3.333333333 Simplifying y = 3.333333333
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