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Simplifying -2(3y + -5) + -4 = -4(y + -4) Reorder the terms: -2(-5 + 3y) + -4 = -4(y + -4) (-5 * -2 + 3y * -2) + -4 = -4(y + -4) (10 + -6y) + -4 = -4(y + -4) Reorder the terms: 10 + -4 + -6y = -4(y + -4) Combine like terms: 10 + -4 = 6 6 + -6y = -4(y + -4) Reorder the terms: 6 + -6y = -4(-4 + y) 6 + -6y = (-4 * -4 + y * -4) 6 + -6y = (16 + -4y) Solving 6 + -6y = 16 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 6 + -6y + 4y = 16 + -4y + 4y Combine like terms: -6y + 4y = -2y 6 + -2y = 16 + -4y + 4y Combine like terms: -4y + 4y = 0 6 + -2y = 16 + 0 6 + -2y = 16 Add '-6' to each side of the equation. 6 + -6 + -2y = 16 + -6 Combine like terms: 6 + -6 = 0 0 + -2y = 16 + -6 -2y = 16 + -6 Combine like terms: 16 + -6 = 10 -2y = 10 Divide each side by '-2'. y = -5 Simplifying y = -5
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