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Simplifying -7y + 4(y + -8) = 4(y + 2) + -4 Reorder the terms: -7y + 4(-8 + y) = 4(y + 2) + -4 -7y + (-8 * 4 + y * 4) = 4(y + 2) + -4 -7y + (-32 + 4y) = 4(y + 2) + -4 Reorder the terms: -32 + -7y + 4y = 4(y + 2) + -4 Combine like terms: -7y + 4y = -3y -32 + -3y = 4(y + 2) + -4 Reorder the terms: -32 + -3y = 4(2 + y) + -4 -32 + -3y = (2 * 4 + y * 4) + -4 -32 + -3y = (8 + 4y) + -4 Reorder the terms: -32 + -3y = 8 + -4 + 4y Combine like terms: 8 + -4 = 4 -32 + -3y = 4 + 4y Solving -32 + -3y = 4 + 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 + -3y + -4y = 4 + 4y + -4y Combine like terms: -3y + -4y = -7y -32 + -7y = 4 + 4y + -4y Combine like terms: 4y + -4y = 0 -32 + -7y = 4 + 0 -32 + -7y = 4 Add '32' to each side of the equation. -32 + 32 + -7y = 4 + 32 Combine like terms: -32 + 32 = 0 0 + -7y = 4 + 32 -7y = 4 + 32 Combine like terms: 4 + 32 = 36 -7y = 36 Divide each side by '-7'. y = -5.142857143 Simplifying y = -5.142857143
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