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Simplifying y + 3 + -2(-8y + -3) = 7(y + -1) Reorder the terms: y + 3 + -2(-3 + -8y) = 7(y + -1) y + 3 + (-3 * -2 + -8y * -2) = 7(y + -1) y + 3 + (6 + 16y) = 7(y + -1) Reorder the terms: 3 + 6 + y + 16y = 7(y + -1) Combine like terms: 3 + 6 = 9 9 + y + 16y = 7(y + -1) Combine like terms: y + 16y = 17y 9 + 17y = 7(y + -1) Reorder the terms: 9 + 17y = 7(-1 + y) 9 + 17y = (-1 * 7 + y * 7) 9 + 17y = (-7 + 7y) Solving 9 + 17y = -7 + 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. 9 + 17y + -7y = -7 + 7y + -7y Combine like terms: 17y + -7y = 10y 9 + 10y = -7 + 7y + -7y Combine like terms: 7y + -7y = 0 9 + 10y = -7 + 0 9 + 10y = -7 Add '-9' to each side of the equation. 9 + -9 + 10y = -7 + -9 Combine like terms: 9 + -9 = 0 0 + 10y = -7 + -9 10y = -7 + -9 Combine like terms: -7 + -9 = -16 10y = -16 Divide each side by '10'. y = -1.6 Simplifying y = -1.6
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