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Simplifying 2(5y + -2) + -4(2y + 3) = 0 Reorder the terms: 2(-2 + 5y) + -4(2y + 3) = 0 (-2 * 2 + 5y * 2) + -4(2y + 3) = 0 (-4 + 10y) + -4(2y + 3) = 0 Reorder the terms: -4 + 10y + -4(3 + 2y) = 0 -4 + 10y + (3 * -4 + 2y * -4) = 0 -4 + 10y + (-12 + -8y) = 0 Reorder the terms: -4 + -12 + 10y + -8y = 0 Combine like terms: -4 + -12 = -16 -16 + 10y + -8y = 0 Combine like terms: 10y + -8y = 2y -16 + 2y = 0 Solving -16 + 2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 2y = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 2y = 0 + 16 2y = 0 + 16 Combine like terms: 0 + 16 = 16 2y = 16 Divide each side by '2'. y = 8 Simplifying y = 8
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