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Simplifying 4y + 4(y + -8) = 8y + -2(y + -10) Reorder the terms: 4y + 4(-8 + y) = 8y + -2(y + -10) 4y + (-8 * 4 + y * 4) = 8y + -2(y + -10) 4y + (-32 + 4y) = 8y + -2(y + -10) Reorder the terms: -32 + 4y + 4y = 8y + -2(y + -10) Combine like terms: 4y + 4y = 8y -32 + 8y = 8y + -2(y + -10) Reorder the terms: -32 + 8y = 8y + -2(-10 + y) -32 + 8y = 8y + (-10 * -2 + y * -2) -32 + 8y = 8y + (20 + -2y) Reorder the terms: -32 + 8y = 20 + 8y + -2y Combine like terms: 8y + -2y = 6y -32 + 8y = 20 + 6y Solving -32 + 8y = 20 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -32 + 8y + -6y = 20 + 6y + -6y Combine like terms: 8y + -6y = 2y -32 + 2y = 20 + 6y + -6y Combine like terms: 6y + -6y = 0 -32 + 2y = 20 + 0 -32 + 2y = 20 Add '32' to each side of the equation. -32 + 32 + 2y = 20 + 32 Combine like terms: -32 + 32 = 0 0 + 2y = 20 + 32 2y = 20 + 32 Combine like terms: 20 + 32 = 52 2y = 52 Divide each side by '2'. y = 26 Simplifying y = 26
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