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