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Simplifying 7y + 4(y + -8) = 3(y + 1) + -2 Reorder the terms: 7y + 4(-8 + y) = 3(y + 1) + -2 7y + (-8 * 4 + y * 4) = 3(y + 1) + -2 7y + (-32 + 4y) = 3(y + 1) + -2 Reorder the terms: -32 + 7y + 4y = 3(y + 1) + -2 Combine like terms: 7y + 4y = 11y -32 + 11y = 3(y + 1) + -2 Reorder the terms: -32 + 11y = 3(1 + y) + -2 -32 + 11y = (1 * 3 + y * 3) + -2 -32 + 11y = (3 + 3y) + -2 Reorder the terms: -32 + 11y = 3 + -2 + 3y Combine like terms: 3 + -2 = 1 -32 + 11y = 1 + 3y Solving -32 + 11y = 1 + 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. -32 + 11y + -3y = 1 + 3y + -3y Combine like terms: 11y + -3y = 8y -32 + 8y = 1 + 3y + -3y Combine like terms: 3y + -3y = 0 -32 + 8y = 1 + 0 -32 + 8y = 1 Add '32' to each side of the equation. -32 + 32 + 8y = 1 + 32 Combine like terms: -32 + 32 = 0 0 + 8y = 1 + 32 8y = 1 + 32 Combine like terms: 1 + 32 = 33 8y = 33 Divide each side by '8'. y = 4.125 Simplifying y = 4.125
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