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Simplifying 3 + -2(7y + 5) = 4(-8y + 2) + 2 Reorder the terms: 3 + -2(5 + 7y) = 4(-8y + 2) + 2 3 + (5 * -2 + 7y * -2) = 4(-8y + 2) + 2 3 + (-10 + -14y) = 4(-8y + 2) + 2 Combine like terms: 3 + -10 = -7 -7 + -14y = 4(-8y + 2) + 2 Reorder the terms: -7 + -14y = 4(2 + -8y) + 2 -7 + -14y = (2 * 4 + -8y * 4) + 2 -7 + -14y = (8 + -32y) + 2 Reorder the terms: -7 + -14y = 8 + 2 + -32y Combine like terms: 8 + 2 = 10 -7 + -14y = 10 + -32y Solving -7 + -14y = 10 + -32y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '32y' to each side of the equation. -7 + -14y + 32y = 10 + -32y + 32y Combine like terms: -14y + 32y = 18y -7 + 18y = 10 + -32y + 32y Combine like terms: -32y + 32y = 0 -7 + 18y = 10 + 0 -7 + 18y = 10 Add '7' to each side of the equation. -7 + 7 + 18y = 10 + 7 Combine like terms: -7 + 7 = 0 0 + 18y = 10 + 7 18y = 10 + 7 Combine like terms: 10 + 7 = 17 18y = 17 Divide each side by '18'. y = 0.9444444444 Simplifying y = 0.9444444444
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