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Simplifying -3(-7y + 7) + -3y = 2(y + -5) + -3 Reorder the terms: -3(7 + -7y) + -3y = 2(y + -5) + -3 (7 * -3 + -7y * -3) + -3y = 2(y + -5) + -3 (-21 + 21y) + -3y = 2(y + -5) + -3 Combine like terms: 21y + -3y = 18y -21 + 18y = 2(y + -5) + -3 Reorder the terms: -21 + 18y = 2(-5 + y) + -3 -21 + 18y = (-5 * 2 + y * 2) + -3 -21 + 18y = (-10 + 2y) + -3 Reorder the terms: -21 + 18y = -10 + -3 + 2y Combine like terms: -10 + -3 = -13 -21 + 18y = -13 + 2y Solving -21 + 18y = -13 + 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. -21 + 18y + -2y = -13 + 2y + -2y Combine like terms: 18y + -2y = 16y -21 + 16y = -13 + 2y + -2y Combine like terms: 2y + -2y = 0 -21 + 16y = -13 + 0 -21 + 16y = -13 Add '21' to each side of the equation. -21 + 21 + 16y = -13 + 21 Combine like terms: -21 + 21 = 0 0 + 16y = -13 + 21 16y = -13 + 21 Combine like terms: -13 + 21 = 8 16y = 8 Divide each side by '16'. y = 0.5 Simplifying y = 0.5
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