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Simplifying 8y + -11 = 5(2y + -3) Reorder the terms: -11 + 8y = 5(2y + -3) Reorder the terms: -11 + 8y = 5(-3 + 2y) -11 + 8y = (-3 * 5 + 2y * 5) -11 + 8y = (-15 + 10y) Solving -11 + 8y = -15 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -11 + 8y + -10y = -15 + 10y + -10y Combine like terms: 8y + -10y = -2y -11 + -2y = -15 + 10y + -10y Combine like terms: 10y + -10y = 0 -11 + -2y = -15 + 0 -11 + -2y = -15 Add '11' to each side of the equation. -11 + 11 + -2y = -15 + 11 Combine like terms: -11 + 11 = 0 0 + -2y = -15 + 11 -2y = -15 + 11 Combine like terms: -15 + 11 = -4 -2y = -4 Divide each side by '-2'. y = 2 Simplifying y = 2
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