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Simplifying 7(2y + -5) = 21y + 7 Reorder the terms: 7(-5 + 2y) = 21y + 7 (-5 * 7 + 2y * 7) = 21y + 7 (-35 + 14y) = 21y + 7 Reorder the terms: -35 + 14y = 7 + 21y Solving -35 + 14y = 7 + 21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-21y' to each side of the equation. -35 + 14y + -21y = 7 + 21y + -21y Combine like terms: 14y + -21y = -7y -35 + -7y = 7 + 21y + -21y Combine like terms: 21y + -21y = 0 -35 + -7y = 7 + 0 -35 + -7y = 7 Add '35' to each side of the equation. -35 + 35 + -7y = 7 + 35 Combine like terms: -35 + 35 = 0 0 + -7y = 7 + 35 -7y = 7 + 35 Combine like terms: 7 + 35 = 42 -7y = 42 Divide each side by '-7'. y = -6 Simplifying y = -6
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