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Simplifying -7(3y + -1) + y = -5(y + 1) Reorder the terms: -7(-1 + 3y) + y = -5(y + 1) (-1 * -7 + 3y * -7) + y = -5(y + 1) (7 + -21y) + y = -5(y + 1) Combine like terms: -21y + y = -20y 7 + -20y = -5(y + 1) Reorder the terms: 7 + -20y = -5(1 + y) 7 + -20y = (1 * -5 + y * -5) 7 + -20y = (-5 + -5y) Solving 7 + -20y = -5 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 7 + -20y + 5y = -5 + -5y + 5y Combine like terms: -20y + 5y = -15y 7 + -15y = -5 + -5y + 5y Combine like terms: -5y + 5y = 0 7 + -15y = -5 + 0 7 + -15y = -5 Add '-7' to each side of the equation. 7 + -7 + -15y = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -15y = -5 + -7 -15y = -5 + -7 Combine like terms: -5 + -7 = -12 -15y = -12 Divide each side by '-15'. y = 0.8 Simplifying y = 0.8
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