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Simplifying 5(y + -3) = 3(2y + -4) Reorder the terms: 5(-3 + y) = 3(2y + -4) (-3 * 5 + y * 5) = 3(2y + -4) (-15 + 5y) = 3(2y + -4) Reorder the terms: -15 + 5y = 3(-4 + 2y) -15 + 5y = (-4 * 3 + 2y * 3) -15 + 5y = (-12 + 6y) Solving -15 + 5y = -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. -15 + 5y + -6y = -12 + 6y + -6y Combine like terms: 5y + -6y = -1y -15 + -1y = -12 + 6y + -6y Combine like terms: 6y + -6y = 0 -15 + -1y = -12 + 0 -15 + -1y = -12 Add '15' to each side of the equation. -15 + 15 + -1y = -12 + 15 Combine like terms: -15 + 15 = 0 0 + -1y = -12 + 15 -1y = -12 + 15 Combine like terms: -12 + 15 = 3 -1y = 3 Divide each side by '-1'. y = -3 Simplifying y = -3
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