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Simplifying 4(2y + -4) + -2 = 5y Reorder the terms: 4(-4 + 2y) + -2 = 5y (-4 * 4 + 2y * 4) + -2 = 5y (-16 + 8y) + -2 = 5y Reorder the terms: -16 + -2 + 8y = 5y Combine like terms: -16 + -2 = -18 -18 + 8y = 5y Solving -18 + 8y = 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -18 + 8y + -5y = 5y + -5y Combine like terms: 8y + -5y = 3y -18 + 3y = 5y + -5y Combine like terms: 5y + -5y = 0 -18 + 3y = 0 Add '18' to each side of the equation. -18 + 18 + 3y = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 3y = 0 + 18 3y = 0 + 18 Combine like terms: 0 + 18 = 18 3y = 18 Divide each side by '3'. y = 6 Simplifying y = 6
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