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Simplifying 2y + 2(y + -8) = 8y + -6(y + -10) Reorder the terms: 2y + 2(-8 + y) = 8y + -6(y + -10) 2y + (-8 * 2 + y * 2) = 8y + -6(y + -10) 2y + (-16 + 2y) = 8y + -6(y + -10) Reorder the terms: -16 + 2y + 2y = 8y + -6(y + -10) Combine like terms: 2y + 2y = 4y -16 + 4y = 8y + -6(y + -10) Reorder the terms: -16 + 4y = 8y + -6(-10 + y) -16 + 4y = 8y + (-10 * -6 + y * -6) -16 + 4y = 8y + (60 + -6y) Reorder the terms: -16 + 4y = 60 + 8y + -6y Combine like terms: 8y + -6y = 2y -16 + 4y = 60 + 2y Solving -16 + 4y = 60 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -16 + 4y + -2y = 60 + 2y + -2y Combine like terms: 4y + -2y = 2y -16 + 2y = 60 + 2y + -2y Combine like terms: 2y + -2y = 0 -16 + 2y = 60 + 0 -16 + 2y = 60 Add '16' to each side of the equation. -16 + 16 + 2y = 60 + 16 Combine like terms: -16 + 16 = 0 0 + 2y = 60 + 16 2y = 60 + 16 Combine like terms: 60 + 16 = 76 2y = 76 Divide each side by '2'. y = 38 Simplifying y = 38
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