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Simplifying 3(y + -2) + -5 = 8 + -2(y + -4) Reorder the terms: 3(-2 + y) + -5 = 8 + -2(y + -4) (-2 * 3 + y * 3) + -5 = 8 + -2(y + -4) (-6 + 3y) + -5 = 8 + -2(y + -4) Reorder the terms: -6 + -5 + 3y = 8 + -2(y + -4) Combine like terms: -6 + -5 = -11 -11 + 3y = 8 + -2(y + -4) Reorder the terms: -11 + 3y = 8 + -2(-4 + y) -11 + 3y = 8 + (-4 * -2 + y * -2) -11 + 3y = 8 + (8 + -2y) Combine like terms: 8 + 8 = 16 -11 + 3y = 16 + -2y Solving -11 + 3y = 16 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -11 + 3y + 2y = 16 + -2y + 2y Combine like terms: 3y + 2y = 5y -11 + 5y = 16 + -2y + 2y Combine like terms: -2y + 2y = 0 -11 + 5y = 16 + 0 -11 + 5y = 16 Add '11' to each side of the equation. -11 + 11 + 5y = 16 + 11 Combine like terms: -11 + 11 = 0 0 + 5y = 16 + 11 5y = 16 + 11 Combine like terms: 16 + 11 = 27 5y = 27 Divide each side by '5'. y = 5.4 Simplifying y = 5.4
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