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Simplifying 5y + -4(y + 2) = 2y Reorder the terms: 5y + -4(2 + y) = 2y 5y + (2 * -4 + y * -4) = 2y 5y + (-8 + -4y) = 2y Reorder the terms: -8 + 5y + -4y = 2y Combine like terms: 5y + -4y = 1y -8 + 1y = 2y Solving -8 + 1y = 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -8 + 1y + -2y = 2y + -2y Combine like terms: 1y + -2y = -1y -8 + -1y = 2y + -2y Combine like terms: 2y + -2y = 0 -8 + -1y = 0 Add '8' to each side of the equation. -8 + 8 + -1y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1y = 0 + 8 -1y = 0 + 8 Combine like terms: 0 + 8 = 8 -1y = 8 Divide each side by '-1'. y = -8 Simplifying y = -8
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