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Simplifying 2(y + -3) = 4(2y + -5) + -5 Reorder the terms: 2(-3 + y) = 4(2y + -5) + -5 (-3 * 2 + y * 2) = 4(2y + -5) + -5 (-6 + 2y) = 4(2y + -5) + -5 Reorder the terms: -6 + 2y = 4(-5 + 2y) + -5 -6 + 2y = (-5 * 4 + 2y * 4) + -5 -6 + 2y = (-20 + 8y) + -5 Reorder the terms: -6 + 2y = -20 + -5 + 8y Combine like terms: -20 + -5 = -25 -6 + 2y = -25 + 8y Solving -6 + 2y = -25 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -6 + 2y + -8y = -25 + 8y + -8y Combine like terms: 2y + -8y = -6y -6 + -6y = -25 + 8y + -8y Combine like terms: 8y + -8y = 0 -6 + -6y = -25 + 0 -6 + -6y = -25 Add '6' to each side of the equation. -6 + 6 + -6y = -25 + 6 Combine like terms: -6 + 6 = 0 0 + -6y = -25 + 6 -6y = -25 + 6 Combine like terms: -25 + 6 = -19 -6y = -19 Divide each side by '-6'. y = 3.166666667 Simplifying y = 3.166666667
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