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Simplifying 5(y + 2) = 2(y + -6) + 4 Reorder the terms: 5(2 + y) = 2(y + -6) + 4 (2 * 5 + y * 5) = 2(y + -6) + 4 (10 + 5y) = 2(y + -6) + 4 Reorder the terms: 10 + 5y = 2(-6 + y) + 4 10 + 5y = (-6 * 2 + y * 2) + 4 10 + 5y = (-12 + 2y) + 4 Reorder the terms: 10 + 5y = -12 + 4 + 2y Combine like terms: -12 + 4 = -8 10 + 5y = -8 + 2y Solving 10 + 5y = -8 + 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. 10 + 5y + -2y = -8 + 2y + -2y Combine like terms: 5y + -2y = 3y 10 + 3y = -8 + 2y + -2y Combine like terms: 2y + -2y = 0 10 + 3y = -8 + 0 10 + 3y = -8 Add '-10' to each side of the equation. 10 + -10 + 3y = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 3y = -8 + -10 3y = -8 + -10 Combine like terms: -8 + -10 = -18 3y = -18 Divide each side by '3'. y = -6 Simplifying y = -6
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