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Simplifying 2(-3y + -4) = -5(2y + -4) Reorder the terms: 2(-4 + -3y) = -5(2y + -4) (-4 * 2 + -3y * 2) = -5(2y + -4) (-8 + -6y) = -5(2y + -4) Reorder the terms: -8 + -6y = -5(-4 + 2y) -8 + -6y = (-4 * -5 + 2y * -5) -8 + -6y = (20 + -10y) Solving -8 + -6y = 20 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. -8 + -6y + 10y = 20 + -10y + 10y Combine like terms: -6y + 10y = 4y -8 + 4y = 20 + -10y + 10y Combine like terms: -10y + 10y = 0 -8 + 4y = 20 + 0 -8 + 4y = 20 Add '8' to each side of the equation. -8 + 8 + 4y = 20 + 8 Combine like terms: -8 + 8 = 0 0 + 4y = 20 + 8 4y = 20 + 8 Combine like terms: 20 + 8 = 28 4y = 28 Divide each side by '4'. y = 7 Simplifying y = 7
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