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Simplifying 5(y + -6) = 4(y + -8) + -7(y + -1) Reorder the terms: 5(-6 + y) = 4(y + -8) + -7(y + -1) (-6 * 5 + y * 5) = 4(y + -8) + -7(y + -1) (-30 + 5y) = 4(y + -8) + -7(y + -1) Reorder the terms: -30 + 5y = 4(-8 + y) + -7(y + -1) -30 + 5y = (-8 * 4 + y * 4) + -7(y + -1) -30 + 5y = (-32 + 4y) + -7(y + -1) Reorder the terms: -30 + 5y = -32 + 4y + -7(-1 + y) -30 + 5y = -32 + 4y + (-1 * -7 + y * -7) -30 + 5y = -32 + 4y + (7 + -7y) Reorder the terms: -30 + 5y = -32 + 7 + 4y + -7y Combine like terms: -32 + 7 = -25 -30 + 5y = -25 + 4y + -7y Combine like terms: 4y + -7y = -3y -30 + 5y = -25 + -3y Solving -30 + 5y = -25 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -30 + 5y + 3y = -25 + -3y + 3y Combine like terms: 5y + 3y = 8y -30 + 8y = -25 + -3y + 3y Combine like terms: -3y + 3y = 0 -30 + 8y = -25 + 0 -30 + 8y = -25 Add '30' to each side of the equation. -30 + 30 + 8y = -25 + 30 Combine like terms: -30 + 30 = 0 0 + 8y = -25 + 30 8y = -25 + 30 Combine like terms: -25 + 30 = 5 8y = 5 Divide each side by '8'. y = 0.625 Simplifying y = 0.625
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