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Simplifying -3y + 7 = -7(y + -5) Reorder the terms: 7 + -3y = -7(y + -5) Reorder the terms: 7 + -3y = -7(-5 + y) 7 + -3y = (-5 * -7 + y * -7) 7 + -3y = (35 + -7y) Solving 7 + -3y = 35 + -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. 7 + -3y + 7y = 35 + -7y + 7y Combine like terms: -3y + 7y = 4y 7 + 4y = 35 + -7y + 7y Combine like terms: -7y + 7y = 0 7 + 4y = 35 + 0 7 + 4y = 35 Add '-7' to each side of the equation. 7 + -7 + 4y = 35 + -7 Combine like terms: 7 + -7 = 0 0 + 4y = 35 + -7 4y = 35 + -7 Combine like terms: 35 + -7 = 28 4y = 28 Divide each side by '4'. y = 7 Simplifying y = 7
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