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Simplifying 6y + -3 = 5(2y + -3) Reorder the terms: -3 + 6y = 5(2y + -3) Reorder the terms: -3 + 6y = 5(-3 + 2y) -3 + 6y = (-3 * 5 + 2y * 5) -3 + 6y = (-15 + 10y) Solving -3 + 6y = -15 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -3 + 6y + -10y = -15 + 10y + -10y Combine like terms: 6y + -10y = -4y -3 + -4y = -15 + 10y + -10y Combine like terms: 10y + -10y = 0 -3 + -4y = -15 + 0 -3 + -4y = -15 Add '3' to each side of the equation. -3 + 3 + -4y = -15 + 3 Combine like terms: -3 + 3 = 0 0 + -4y = -15 + 3 -4y = -15 + 3 Combine like terms: -15 + 3 = -12 -4y = -12 Divide each side by '-4'. y = 3 Simplifying y = 3
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