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Simplifying 2(y + 5) + -4 = 6(y + -2) + 2 Reorder the terms: 2(5 + y) + -4 = 6(y + -2) + 2 (5 * 2 + y * 2) + -4 = 6(y + -2) + 2 (10 + 2y) + -4 = 6(y + -2) + 2 Reorder the terms: 10 + -4 + 2y = 6(y + -2) + 2 Combine like terms: 10 + -4 = 6 6 + 2y = 6(y + -2) + 2 Reorder the terms: 6 + 2y = 6(-2 + y) + 2 6 + 2y = (-2 * 6 + y * 6) + 2 6 + 2y = (-12 + 6y) + 2 Reorder the terms: 6 + 2y = -12 + 2 + 6y Combine like terms: -12 + 2 = -10 6 + 2y = -10 + 6y Solving 6 + 2y = -10 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 6 + 2y + -6y = -10 + 6y + -6y Combine like terms: 2y + -6y = -4y 6 + -4y = -10 + 6y + -6y Combine like terms: 6y + -6y = 0 6 + -4y = -10 + 0 6 + -4y = -10 Add '-6' to each side of the equation. 6 + -6 + -4y = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -4y = -10 + -6 -4y = -10 + -6 Combine like terms: -10 + -6 = -16 -4y = -16 Divide each side by '-4'. y = 4 Simplifying y = 4
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