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Simplifying -2(3y + -5) + -1y = -4(y + -4) Reorder the terms: -2(-5 + 3y) + -1y = -4(y + -4) (-5 * -2 + 3y * -2) + -1y = -4(y + -4) (10 + -6y) + -1y = -4(y + -4) Combine like terms: -6y + -1y = -7y 10 + -7y = -4(y + -4) Reorder the terms: 10 + -7y = -4(-4 + y) 10 + -7y = (-4 * -4 + y * -4) 10 + -7y = (16 + -4y) Solving 10 + -7y = 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. 10 + -7y + 4y = 16 + -4y + 4y Combine like terms: -7y + 4y = -3y 10 + -3y = 16 + -4y + 4y Combine like terms: -4y + 4y = 0 10 + -3y = 16 + 0 10 + -3y = 16 Add '-10' to each side of the equation. 10 + -10 + -3y = 16 + -10 Combine like terms: 10 + -10 = 0 0 + -3y = 16 + -10 -3y = 16 + -10 Combine like terms: 16 + -10 = 6 -3y = 6 Divide each side by '-3'. y = -2 Simplifying y = -2
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