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Simplifying -5y + 2 = 3(y + -2) Reorder the terms: 2 + -5y = 3(y + -2) Reorder the terms: 2 + -5y = 3(-2 + y) 2 + -5y = (-2 * 3 + y * 3) 2 + -5y = (-6 + 3y) Solving 2 + -5y = -6 + 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. 2 + -5y + -3y = -6 + 3y + -3y Combine like terms: -5y + -3y = -8y 2 + -8y = -6 + 3y + -3y Combine like terms: 3y + -3y = 0 2 + -8y = -6 + 0 2 + -8y = -6 Add '-2' to each side of the equation. 2 + -2 + -8y = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -8y = -6 + -2 -8y = -6 + -2 Combine like terms: -6 + -2 = -8 -8y = -8 Divide each side by '-8'. y = 1 Simplifying y = 1
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