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Simplifying 5y + -2 = -4(y + -4) Reorder the terms: -2 + 5y = -4(y + -4) Reorder the terms: -2 + 5y = -4(-4 + y) -2 + 5y = (-4 * -4 + y * -4) -2 + 5y = (16 + -4y) Solving -2 + 5y = 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. -2 + 5y + 4y = 16 + -4y + 4y Combine like terms: 5y + 4y = 9y -2 + 9y = 16 + -4y + 4y Combine like terms: -4y + 4y = 0 -2 + 9y = 16 + 0 -2 + 9y = 16 Add '2' to each side of the equation. -2 + 2 + 9y = 16 + 2 Combine like terms: -2 + 2 = 0 0 + 9y = 16 + 2 9y = 16 + 2 Combine like terms: 16 + 2 = 18 9y = 18 Divide each side by '9'. y = 2 Simplifying y = 2
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