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Simplifying -7(-3y + 3) + -4y = 7(y + -5) + -1 Reorder the terms: -7(3 + -3y) + -4y = 7(y + -5) + -1 (3 * -7 + -3y * -7) + -4y = 7(y + -5) + -1 (-21 + 21y) + -4y = 7(y + -5) + -1 Combine like terms: 21y + -4y = 17y -21 + 17y = 7(y + -5) + -1 Reorder the terms: -21 + 17y = 7(-5 + y) + -1 -21 + 17y = (-5 * 7 + y * 7) + -1 -21 + 17y = (-35 + 7y) + -1 Reorder the terms: -21 + 17y = -35 + -1 + 7y Combine like terms: -35 + -1 = -36 -21 + 17y = -36 + 7y Solving -21 + 17y = -36 + 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. -21 + 17y + -7y = -36 + 7y + -7y Combine like terms: 17y + -7y = 10y -21 + 10y = -36 + 7y + -7y Combine like terms: 7y + -7y = 0 -21 + 10y = -36 + 0 -21 + 10y = -36 Add '21' to each side of the equation. -21 + 21 + 10y = -36 + 21 Combine like terms: -21 + 21 = 0 0 + 10y = -36 + 21 10y = -36 + 21 Combine like terms: -36 + 21 = -15 10y = -15 Divide each side by '10'. y = -1.5 Simplifying y = -1.5
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