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Simplifying 3(y + -5) = 7(y + -5) Reorder the terms: 3(-5 + y) = 7(y + -5) (-5 * 3 + y * 3) = 7(y + -5) (-15 + 3y) = 7(y + -5) Reorder the terms: -15 + 3y = 7(-5 + y) -15 + 3y = (-5 * 7 + y * 7) -15 + 3y = (-35 + 7y) Solving -15 + 3y = -35 + 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. -15 + 3y + -7y = -35 + 7y + -7y Combine like terms: 3y + -7y = -4y -15 + -4y = -35 + 7y + -7y Combine like terms: 7y + -7y = 0 -15 + -4y = -35 + 0 -15 + -4y = -35 Add '15' to each side of the equation. -15 + 15 + -4y = -35 + 15 Combine like terms: -15 + 15 = 0 0 + -4y = -35 + 15 -4y = -35 + 15 Combine like terms: -35 + 15 = -20 -4y = -20 Divide each side by '-4'. y = 5 Simplifying y = 5
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