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Simplifying 4y + 30 = 10 + -1(5y + -4) Reorder the terms: 30 + 4y = 10 + -1(5y + -4) Reorder the terms: 30 + 4y = 10 + -1(-4 + 5y) 30 + 4y = 10 + (-4 * -1 + 5y * -1) 30 + 4y = 10 + (4 + -5y) Combine like terms: 10 + 4 = 14 30 + 4y = 14 + -5y Solving 30 + 4y = 14 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 30 + 4y + 5y = 14 + -5y + 5y Combine like terms: 4y + 5y = 9y 30 + 9y = 14 + -5y + 5y Combine like terms: -5y + 5y = 0 30 + 9y = 14 + 0 30 + 9y = 14 Add '-30' to each side of the equation. 30 + -30 + 9y = 14 + -30 Combine like terms: 30 + -30 = 0 0 + 9y = 14 + -30 9y = 14 + -30 Combine like terms: 14 + -30 = -16 9y = -16 Divide each side by '9'. y = -1.777777778 Simplifying y = -1.777777778
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