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Simplifying -6(-3y + 7) + -7y = 7(y + -3) + -7 Reorder the terms: -6(7 + -3y) + -7y = 7(y + -3) + -7 (7 * -6 + -3y * -6) + -7y = 7(y + -3) + -7 (-42 + 18y) + -7y = 7(y + -3) + -7 Combine like terms: 18y + -7y = 11y -42 + 11y = 7(y + -3) + -7 Reorder the terms: -42 + 11y = 7(-3 + y) + -7 -42 + 11y = (-3 * 7 + y * 7) + -7 -42 + 11y = (-21 + 7y) + -7 Reorder the terms: -42 + 11y = -21 + -7 + 7y Combine like terms: -21 + -7 = -28 -42 + 11y = -28 + 7y Solving -42 + 11y = -28 + 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. -42 + 11y + -7y = -28 + 7y + -7y Combine like terms: 11y + -7y = 4y -42 + 4y = -28 + 7y + -7y Combine like terms: 7y + -7y = 0 -42 + 4y = -28 + 0 -42 + 4y = -28 Add '42' to each side of the equation. -42 + 42 + 4y = -28 + 42 Combine like terms: -42 + 42 = 0 0 + 4y = -28 + 42 4y = -28 + 42 Combine like terms: -28 + 42 = 14 4y = 14 Divide each side by '4'. y = 3.5 Simplifying y = 3.5
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