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Simplifying 2y + 2(y + -2) = 8y + -6(y + -10) Reorder the terms: 2y + 2(-2 + y) = 8y + -6(y + -10) 2y + (-2 * 2 + y * 2) = 8y + -6(y + -10) 2y + (-4 + 2y) = 8y + -6(y + -10) Reorder the terms: -4 + 2y + 2y = 8y + -6(y + -10) Combine like terms: 2y + 2y = 4y -4 + 4y = 8y + -6(y + -10) Reorder the terms: -4 + 4y = 8y + -6(-10 + y) -4 + 4y = 8y + (-10 * -6 + y * -6) -4 + 4y = 8y + (60 + -6y) Reorder the terms: -4 + 4y = 60 + 8y + -6y Combine like terms: 8y + -6y = 2y -4 + 4y = 60 + 2y Solving -4 + 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. -4 + 4y + -2y = 60 + 2y + -2y Combine like terms: 4y + -2y = 2y -4 + 2y = 60 + 2y + -2y Combine like terms: 2y + -2y = 0 -4 + 2y = 60 + 0 -4 + 2y = 60 Add '4' to each side of the equation. -4 + 4 + 2y = 60 + 4 Combine like terms: -4 + 4 = 0 0 + 2y = 60 + 4 2y = 60 + 4 Combine like terms: 60 + 4 = 64 2y = 64 Divide each side by '2'. y = 32 Simplifying y = 32
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