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Simplifying 2(y + 1) = 2(5y + -6) Reorder the terms: 2(1 + y) = 2(5y + -6) (1 * 2 + y * 2) = 2(5y + -6) (2 + 2y) = 2(5y + -6) Reorder the terms: 2 + 2y = 2(-6 + 5y) 2 + 2y = (-6 * 2 + 5y * 2) 2 + 2y = (-12 + 10y) Solving 2 + 2y = -12 + 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. 2 + 2y + -10y = -12 + 10y + -10y Combine like terms: 2y + -10y = -8y 2 + -8y = -12 + 10y + -10y Combine like terms: 10y + -10y = 0 2 + -8y = -12 + 0 2 + -8y = -12 Add '-2' to each side of the equation. 2 + -2 + -8y = -12 + -2 Combine like terms: 2 + -2 = 0 0 + -8y = -12 + -2 -8y = -12 + -2 Combine like terms: -12 + -2 = -14 -8y = -14 Divide each side by '-8'. y = 1.75 Simplifying y = 1.75
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