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Simplifying 5y + -3 = 8 + 4(y + -2) Reorder the terms: -3 + 5y = 8 + 4(y + -2) Reorder the terms: -3 + 5y = 8 + 4(-2 + y) -3 + 5y = 8 + (-2 * 4 + y * 4) -3 + 5y = 8 + (-8 + 4y) Combine like terms: 8 + -8 = 0 -3 + 5y = 0 + 4y -3 + 5y = 4y Solving -3 + 5y = 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. -3 + 5y + -4y = 4y + -4y Combine like terms: 5y + -4y = 1y -3 + 1y = 4y + -4y Combine like terms: 4y + -4y = 0 -3 + 1y = 0 Add '3' to each side of the equation. -3 + 3 + 1y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 1y = 0 + 3 1y = 0 + 3 Combine like terms: 0 + 3 = 3 1y = 3 Divide each side by '1'. y = 3 Simplifying y = 3
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