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Simplifying 5y + 4(y + -8) = 4(y + 1) + -3 Reorder the terms: 5y + 4(-8 + y) = 4(y + 1) + -3 5y + (-8 * 4 + y * 4) = 4(y + 1) + -3 5y + (-32 + 4y) = 4(y + 1) + -3 Reorder the terms: -32 + 5y + 4y = 4(y + 1) + -3 Combine like terms: 5y + 4y = 9y -32 + 9y = 4(y + 1) + -3 Reorder the terms: -32 + 9y = 4(1 + y) + -3 -32 + 9y = (1 * 4 + y * 4) + -3 -32 + 9y = (4 + 4y) + -3 Reorder the terms: -32 + 9y = 4 + -3 + 4y Combine like terms: 4 + -3 = 1 -32 + 9y = 1 + 4y Solving -32 + 9y = 1 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -32 + 9y + -4y = 1 + 4y + -4y Combine like terms: 9y + -4y = 5y -32 + 5y = 1 + 4y + -4y Combine like terms: 4y + -4y = 0 -32 + 5y = 1 + 0 -32 + 5y = 1 Add '32' to each side of the equation. -32 + 32 + 5y = 1 + 32 Combine like terms: -32 + 32 = 0 0 + 5y = 1 + 32 5y = 1 + 32 Combine like terms: 1 + 32 = 33 5y = 33 Divide each side by '5'. y = 6.6 Simplifying y = 6.6
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