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Simplifying 3y + -5(y + -5) = 6 + -6(y + -4) Reorder the terms: 3y + -5(-5 + y) = 6 + -6(y + -4) 3y + (-5 * -5 + y * -5) = 6 + -6(y + -4) 3y + (25 + -5y) = 6 + -6(y + -4) Reorder the terms: 25 + 3y + -5y = 6 + -6(y + -4) Combine like terms: 3y + -5y = -2y 25 + -2y = 6 + -6(y + -4) Reorder the terms: 25 + -2y = 6 + -6(-4 + y) 25 + -2y = 6 + (-4 * -6 + y * -6) 25 + -2y = 6 + (24 + -6y) Combine like terms: 6 + 24 = 30 25 + -2y = 30 + -6y Solving 25 + -2y = 30 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 25 + -2y + 6y = 30 + -6y + 6y Combine like terms: -2y + 6y = 4y 25 + 4y = 30 + -6y + 6y Combine like terms: -6y + 6y = 0 25 + 4y = 30 + 0 25 + 4y = 30 Add '-25' to each side of the equation. 25 + -25 + 4y = 30 + -25 Combine like terms: 25 + -25 = 0 0 + 4y = 30 + -25 4y = 30 + -25 Combine like terms: 30 + -25 = 5 4y = 5 Divide each side by '4'. y = 1.25 Simplifying y = 1.25
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