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Simplifying 5y + -1(8 + -3y) = 3(y + 4) + -7 5y + (8 * -1 + -3y * -1) = 3(y + 4) + -7 5y + (-8 + 3y) = 3(y + 4) + -7 Reorder the terms: -8 + 5y + 3y = 3(y + 4) + -7 Combine like terms: 5y + 3y = 8y -8 + 8y = 3(y + 4) + -7 Reorder the terms: -8 + 8y = 3(4 + y) + -7 -8 + 8y = (4 * 3 + y * 3) + -7 -8 + 8y = (12 + 3y) + -7 Reorder the terms: -8 + 8y = 12 + -7 + 3y Combine like terms: 12 + -7 = 5 -8 + 8y = 5 + 3y Solving -8 + 8y = 5 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -8 + 8y + -3y = 5 + 3y + -3y Combine like terms: 8y + -3y = 5y -8 + 5y = 5 + 3y + -3y Combine like terms: 3y + -3y = 0 -8 + 5y = 5 + 0 -8 + 5y = 5 Add '8' to each side of the equation. -8 + 8 + 5y = 5 + 8 Combine like terms: -8 + 8 = 0 0 + 5y = 5 + 8 5y = 5 + 8 Combine like terms: 5 + 8 = 13 5y = 13 Divide each side by '5'. y = 2.6 Simplifying y = 2.6
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