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