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Simplifying 3y + 5 = 3(2y + -4) Reorder the terms: 5 + 3y = 3(2y + -4) Reorder the terms: 5 + 3y = 3(-4 + 2y) 5 + 3y = (-4 * 3 + 2y * 3) 5 + 3y = (-12 + 6y) Solving 5 + 3y = -12 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 5 + 3y + -6y = -12 + 6y + -6y Combine like terms: 3y + -6y = -3y 5 + -3y = -12 + 6y + -6y Combine like terms: 6y + -6y = 0 5 + -3y = -12 + 0 5 + -3y = -12 Add '-5' to each side of the equation. 5 + -5 + -3y = -12 + -5 Combine like terms: 5 + -5 = 0 0 + -3y = -12 + -5 -3y = -12 + -5 Combine like terms: -12 + -5 = -17 -3y = -17 Divide each side by '-3'. y = 5.666666667 Simplifying y = 5.666666667
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