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