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Simplifying 7 + 2(y + -3) = 6y + 3 Reorder the terms: 7 + 2(-3 + y) = 6y + 3 7 + (-3 * 2 + y * 2) = 6y + 3 7 + (-6 + 2y) = 6y + 3 Combine like terms: 7 + -6 = 1 1 + 2y = 6y + 3 Reorder the terms: 1 + 2y = 3 + 6y Solving 1 + 2y = 3 + 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. 1 + 2y + -6y = 3 + 6y + -6y Combine like terms: 2y + -6y = -4y 1 + -4y = 3 + 6y + -6y Combine like terms: 6y + -6y = 0 1 + -4y = 3 + 0 1 + -4y = 3 Add '-1' to each side of the equation. 1 + -1 + -4y = 3 + -1 Combine like terms: 1 + -1 = 0 0 + -4y = 3 + -1 -4y = 3 + -1 Combine like terms: 3 + -1 = 2 -4y = 2 Divide each side by '-4'. y = -0.5 Simplifying y = -0.5
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