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Simplifying 4(5y + -2) = 48 + 13y Reorder the terms: 4(-2 + 5y) = 48 + 13y (-2 * 4 + 5y * 4) = 48 + 13y (-8 + 20y) = 48 + 13y Solving -8 + 20y = 48 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. -8 + 20y + -13y = 48 + 13y + -13y Combine like terms: 20y + -13y = 7y -8 + 7y = 48 + 13y + -13y Combine like terms: 13y + -13y = 0 -8 + 7y = 48 + 0 -8 + 7y = 48 Add '8' to each side of the equation. -8 + 8 + 7y = 48 + 8 Combine like terms: -8 + 8 = 0 0 + 7y = 48 + 8 7y = 48 + 8 Combine like terms: 48 + 8 = 56 7y = 56 Divide each side by '7'. y = 8 Simplifying y = 8
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