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Simplifying y + -1(4y + -7) = 5y + -1(y + 21) Reorder the terms: y + -1(-7 + 4y) = 5y + -1(y + 21) y + (-7 * -1 + 4y * -1) = 5y + -1(y + 21) y + (7 + -4y) = 5y + -1(y + 21) Reorder the terms: 7 + y + -4y = 5y + -1(y + 21) Combine like terms: y + -4y = -3y 7 + -3y = 5y + -1(y + 21) Reorder the terms: 7 + -3y = 5y + -1(21 + y) 7 + -3y = 5y + (21 * -1 + y * -1) 7 + -3y = 5y + (-21 + -1y) Reorder the terms: 7 + -3y = -21 + 5y + -1y Combine like terms: 5y + -1y = 4y 7 + -3y = -21 + 4y Solving 7 + -3y = -21 + 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. 7 + -3y + -4y = -21 + 4y + -4y Combine like terms: -3y + -4y = -7y 7 + -7y = -21 + 4y + -4y Combine like terms: 4y + -4y = 0 7 + -7y = -21 + 0 7 + -7y = -21 Add '-7' to each side of the equation. 7 + -7 + -7y = -21 + -7 Combine like terms: 7 + -7 = 0 0 + -7y = -21 + -7 -7y = -21 + -7 Combine like terms: -21 + -7 = -28 -7y = -28 Divide each side by '-7'. y = 4 Simplifying y = 4
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