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Simplifying 5(2y + -1) = 3(y + -4) Reorder the terms: 5(-1 + 2y) = 3(y + -4) (-1 * 5 + 2y * 5) = 3(y + -4) (-5 + 10y) = 3(y + -4) Reorder the terms: -5 + 10y = 3(-4 + y) -5 + 10y = (-4 * 3 + y * 3) -5 + 10y = (-12 + 3y) Solving -5 + 10y = -12 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -5 + 10y + -3y = -12 + 3y + -3y Combine like terms: 10y + -3y = 7y -5 + 7y = -12 + 3y + -3y Combine like terms: 3y + -3y = 0 -5 + 7y = -12 + 0 -5 + 7y = -12 Add '5' to each side of the equation. -5 + 5 + 7y = -12 + 5 Combine like terms: -5 + 5 = 0 0 + 7y = -12 + 5 7y = -12 + 5 Combine like terms: -12 + 5 = -7 7y = -7 Divide each side by '7'. y = -1 Simplifying y = -1
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