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Simplifying 3(y + -4) + 5(6 + -2y) = 4 Reorder the terms: 3(-4 + y) + 5(6 + -2y) = 4 (-4 * 3 + y * 3) + 5(6 + -2y) = 4 (-12 + 3y) + 5(6 + -2y) = 4 -12 + 3y + (6 * 5 + -2y * 5) = 4 -12 + 3y + (30 + -10y) = 4 Reorder the terms: -12 + 30 + 3y + -10y = 4 Combine like terms: -12 + 30 = 18 18 + 3y + -10y = 4 Combine like terms: 3y + -10y = -7y 18 + -7y = 4 Solving 18 + -7y = 4 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -7y = 4 + -18 Combine like terms: 18 + -18 = 0 0 + -7y = 4 + -18 -7y = 4 + -18 Combine like terms: 4 + -18 = -14 -7y = -14 Divide each side by '-7'. y = 2 Simplifying y = 2
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