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Simplifying 7y + 6 + y + -5 = 2(5y + -3) Reorder the terms: 6 + -5 + 7y + y = 2(5y + -3) Combine like terms: 6 + -5 = 1 1 + 7y + y = 2(5y + -3) Combine like terms: 7y + y = 8y 1 + 8y = 2(5y + -3) Reorder the terms: 1 + 8y = 2(-3 + 5y) 1 + 8y = (-3 * 2 + 5y * 2) 1 + 8y = (-6 + 10y) Solving 1 + 8y = -6 + 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. 1 + 8y + -10y = -6 + 10y + -10y Combine like terms: 8y + -10y = -2y 1 + -2y = -6 + 10y + -10y Combine like terms: 10y + -10y = 0 1 + -2y = -6 + 0 1 + -2y = -6 Add '-1' to each side of the equation. 1 + -1 + -2y = -6 + -1 Combine like terms: 1 + -1 = 0 0 + -2y = -6 + -1 -2y = -6 + -1 Combine like terms: -6 + -1 = -7 -2y = -7 Divide each side by '-2'. y = 3.5 Simplifying y = 3.5
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