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Simplifying 2(y + -2) = 5(y + -3) Reorder the terms: 2(-2 + y) = 5(y + -3) (-2 * 2 + y * 2) = 5(y + -3) (-4 + 2y) = 5(y + -3) Reorder the terms: -4 + 2y = 5(-3 + y) -4 + 2y = (-3 * 5 + y * 5) -4 + 2y = (-15 + 5y) Solving -4 + 2y = -15 + 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. -4 + 2y + -5y = -15 + 5y + -5y Combine like terms: 2y + -5y = -3y -4 + -3y = -15 + 5y + -5y Combine like terms: 5y + -5y = 0 -4 + -3y = -15 + 0 -4 + -3y = -15 Add '4' to each side of the equation. -4 + 4 + -3y = -15 + 4 Combine like terms: -4 + 4 = 0 0 + -3y = -15 + 4 -3y = -15 + 4 Combine like terms: -15 + 4 = -11 -3y = -11 Divide each side by '-3'. y = 3.666666667 Simplifying y = 3.666666667
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