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Simplifying -3(-7y + 7) + -5y = 4(y + -7) + -7 Reorder the terms: -3(7 + -7y) + -5y = 4(y + -7) + -7 (7 * -3 + -7y * -3) + -5y = 4(y + -7) + -7 (-21 + 21y) + -5y = 4(y + -7) + -7 Combine like terms: 21y + -5y = 16y -21 + 16y = 4(y + -7) + -7 Reorder the terms: -21 + 16y = 4(-7 + y) + -7 -21 + 16y = (-7 * 4 + y * 4) + -7 -21 + 16y = (-28 + 4y) + -7 Reorder the terms: -21 + 16y = -28 + -7 + 4y Combine like terms: -28 + -7 = -35 -21 + 16y = -35 + 4y Solving -21 + 16y = -35 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -21 + 16y + -4y = -35 + 4y + -4y Combine like terms: 16y + -4y = 12y -21 + 12y = -35 + 4y + -4y Combine like terms: 4y + -4y = 0 -21 + 12y = -35 + 0 -21 + 12y = -35 Add '21' to each side of the equation. -21 + 21 + 12y = -35 + 21 Combine like terms: -21 + 21 = 0 0 + 12y = -35 + 21 12y = -35 + 21 Combine like terms: -35 + 21 = -14 12y = -14 Divide each side by '12'. y = -1.166666667 Simplifying y = -1.166666667
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