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Simplifying -8y + 4(4y + -3) = -5 + -5(1 + -5y) Reorder the terms: -8y + 4(-3 + 4y) = -5 + -5(1 + -5y) -8y + (-3 * 4 + 4y * 4) = -5 + -5(1 + -5y) -8y + (-12 + 16y) = -5 + -5(1 + -5y) Reorder the terms: -12 + -8y + 16y = -5 + -5(1 + -5y) Combine like terms: -8y + 16y = 8y -12 + 8y = -5 + -5(1 + -5y) -12 + 8y = -5 + (1 * -5 + -5y * -5) -12 + 8y = -5 + (-5 + 25y) Combine like terms: -5 + -5 = -10 -12 + 8y = -10 + 25y Solving -12 + 8y = -10 + 25y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-25y' to each side of the equation. -12 + 8y + -25y = -10 + 25y + -25y Combine like terms: 8y + -25y = -17y -12 + -17y = -10 + 25y + -25y Combine like terms: 25y + -25y = 0 -12 + -17y = -10 + 0 -12 + -17y = -10 Add '12' to each side of the equation. -12 + 12 + -17y = -10 + 12 Combine like terms: -12 + 12 = 0 0 + -17y = -10 + 12 -17y = -10 + 12 Combine like terms: -10 + 12 = 2 -17y = 2 Divide each side by '-17'. y = -0.1176470588 Simplifying y = -0.1176470588
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