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Simplifying 2(3y + -5) + -2 = 3(y + -3) Reorder the terms: 2(-5 + 3y) + -2 = 3(y + -3) (-5 * 2 + 3y * 2) + -2 = 3(y + -3) (-10 + 6y) + -2 = 3(y + -3) Reorder the terms: -10 + -2 + 6y = 3(y + -3) Combine like terms: -10 + -2 = -12 -12 + 6y = 3(y + -3) Reorder the terms: -12 + 6y = 3(-3 + y) -12 + 6y = (-3 * 3 + y * 3) -12 + 6y = (-9 + 3y) Solving -12 + 6y = -9 + 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. -12 + 6y + -3y = -9 + 3y + -3y Combine like terms: 6y + -3y = 3y -12 + 3y = -9 + 3y + -3y Combine like terms: 3y + -3y = 0 -12 + 3y = -9 + 0 -12 + 3y = -9 Add '12' to each side of the equation. -12 + 12 + 3y = -9 + 12 Combine like terms: -12 + 12 = 0 0 + 3y = -9 + 12 3y = -9 + 12 Combine like terms: -9 + 12 = 3 3y = 3 Divide each side by '3'. y = 1 Simplifying y = 1
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