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Simplifying 4(3y + -2) = 5(y + -1) Reorder the terms: 4(-2 + 3y) = 5(y + -1) (-2 * 4 + 3y * 4) = 5(y + -1) (-8 + 12y) = 5(y + -1) Reorder the terms: -8 + 12y = 5(-1 + y) -8 + 12y = (-1 * 5 + y * 5) -8 + 12y = (-5 + 5y) Solving -8 + 12y = -5 + 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. -8 + 12y + -5y = -5 + 5y + -5y Combine like terms: 12y + -5y = 7y -8 + 7y = -5 + 5y + -5y Combine like terms: 5y + -5y = 0 -8 + 7y = -5 + 0 -8 + 7y = -5 Add '8' to each side of the equation. -8 + 8 + 7y = -5 + 8 Combine like terms: -8 + 8 = 0 0 + 7y = -5 + 8 7y = -5 + 8 Combine like terms: -5 + 8 = 3 7y = 3 Divide each side by '7'. y = 0.4285714286 Simplifying y = 0.4285714286
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