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Simplifying 6(2 + -2) + -2 = 7(y + 3) Combine like terms: 2 + -2 = 0 6(0) + -2 = 7(y + 3) Multiply 6 * 0 0 + -2 = 7(y + 3) Anything times zero is zero. 0 + -2 = 7(y + 3) Combine like terms: 0 + -2 = -2 -2 = 7(y + 3) Reorder the terms: -2 = 7(3 + y) -2 = (3 * 7 + y * 7) -2 = (21 + 7y) Solving -2 = 21 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -2 + -7y = 21 + 7y + -7y Combine like terms: 7y + -7y = 0 -2 + -7y = 21 + 0 -2 + -7y = 21 Add '2' to each side of the equation. -2 + 2 + -7y = 21 + 2 Combine like terms: -2 + 2 = 0 0 + -7y = 21 + 2 -7y = 21 + 2 Combine like terms: 21 + 2 = 23 -7y = 23 Divide each side by '-7'. y = -3.285714286 Simplifying y = -3.285714286
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