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Simplifying 5y + 2 = 1 + -2(10y + 4) Reorder the terms: 2 + 5y = 1 + -2(10y + 4) Reorder the terms: 2 + 5y = 1 + -2(4 + 10y) 2 + 5y = 1 + (4 * -2 + 10y * -2) 2 + 5y = 1 + (-8 + -20y) Combine like terms: 1 + -8 = -7 2 + 5y = -7 + -20y Solving 2 + 5y = -7 + -20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '20y' to each side of the equation. 2 + 5y + 20y = -7 + -20y + 20y Combine like terms: 5y + 20y = 25y 2 + 25y = -7 + -20y + 20y Combine like terms: -20y + 20y = 0 2 + 25y = -7 + 0 2 + 25y = -7 Add '-2' to each side of the equation. 2 + -2 + 25y = -7 + -2 Combine like terms: 2 + -2 = 0 0 + 25y = -7 + -2 25y = -7 + -2 Combine like terms: -7 + -2 = -9 25y = -9 Divide each side by '25'. y = -0.36 Simplifying y = -0.36
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