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Simplifying -4y + -4(3y + 9) = -8 + 9(-7 + -1y) Reorder the terms: -4y + -4(9 + 3y) = -8 + 9(-7 + -1y) -4y + (9 * -4 + 3y * -4) = -8 + 9(-7 + -1y) -4y + (-36 + -12y) = -8 + 9(-7 + -1y) Reorder the terms: -36 + -4y + -12y = -8 + 9(-7 + -1y) Combine like terms: -4y + -12y = -16y -36 + -16y = -8 + 9(-7 + -1y) -36 + -16y = -8 + (-7 * 9 + -1y * 9) -36 + -16y = -8 + (-63 + -9y) Combine like terms: -8 + -63 = -71 -36 + -16y = -71 + -9y Solving -36 + -16y = -71 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. -36 + -16y + 9y = -71 + -9y + 9y Combine like terms: -16y + 9y = -7y -36 + -7y = -71 + -9y + 9y Combine like terms: -9y + 9y = 0 -36 + -7y = -71 + 0 -36 + -7y = -71 Add '36' to each side of the equation. -36 + 36 + -7y = -71 + 36 Combine like terms: -36 + 36 = 0 0 + -7y = -71 + 36 -7y = -71 + 36 Combine like terms: -71 + 36 = -35 -7y = -35 Divide each side by '-7'. y = 5 Simplifying y = 5
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