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Simplifying 4(y + 2) = 30 + -1(y + -3) Reorder the terms: 4(2 + y) = 30 + -1(y + -3) (2 * 4 + y * 4) = 30 + -1(y + -3) (8 + 4y) = 30 + -1(y + -3) Reorder the terms: 8 + 4y = 30 + -1(-3 + y) 8 + 4y = 30 + (-3 * -1 + y * -1) 8 + 4y = 30 + (3 + -1y) Combine like terms: 30 + 3 = 33 8 + 4y = 33 + -1y Solving 8 + 4y = 33 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 8 + 4y + y = 33 + -1y + y Combine like terms: 4y + y = 5y 8 + 5y = 33 + -1y + y Combine like terms: -1y + y = 0 8 + 5y = 33 + 0 8 + 5y = 33 Add '-8' to each side of the equation. 8 + -8 + 5y = 33 + -8 Combine like terms: 8 + -8 = 0 0 + 5y = 33 + -8 5y = 33 + -8 Combine like terms: 33 + -8 = 25 5y = 25 Divide each side by '5'. y = 5 Simplifying y = 5
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