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Simplifying 4y + 2(y + -4) = 10y + -2(y + -4) Reorder the terms: 4y + 2(-4 + y) = 10y + -2(y + -4) 4y + (-4 * 2 + y * 2) = 10y + -2(y + -4) 4y + (-8 + 2y) = 10y + -2(y + -4) Reorder the terms: -8 + 4y + 2y = 10y + -2(y + -4) Combine like terms: 4y + 2y = 6y -8 + 6y = 10y + -2(y + -4) Reorder the terms: -8 + 6y = 10y + -2(-4 + y) -8 + 6y = 10y + (-4 * -2 + y * -2) -8 + 6y = 10y + (8 + -2y) Reorder the terms: -8 + 6y = 8 + 10y + -2y Combine like terms: 10y + -2y = 8y -8 + 6y = 8 + 8y Solving -8 + 6y = 8 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -8 + 6y + -8y = 8 + 8y + -8y Combine like terms: 6y + -8y = -2y -8 + -2y = 8 + 8y + -8y Combine like terms: 8y + -8y = 0 -8 + -2y = 8 + 0 -8 + -2y = 8 Add '8' to each side of the equation. -8 + 8 + -2y = 8 + 8 Combine like terms: -8 + 8 = 0 0 + -2y = 8 + 8 -2y = 8 + 8 Combine like terms: 8 + 8 = 16 -2y = 16 Divide each side by '-2'. y = -8 Simplifying y = -8
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