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Simplifying 7(y + -3) + -7 = -4(-6y + 3) + -3y Reorder the terms: 7(-3 + y) + -7 = -4(-6y + 3) + -3y (-3 * 7 + y * 7) + -7 = -4(-6y + 3) + -3y (-21 + 7y) + -7 = -4(-6y + 3) + -3y Reorder the terms: -21 + -7 + 7y = -4(-6y + 3) + -3y Combine like terms: -21 + -7 = -28 -28 + 7y = -4(-6y + 3) + -3y Reorder the terms: -28 + 7y = -4(3 + -6y) + -3y -28 + 7y = (3 * -4 + -6y * -4) + -3y -28 + 7y = (-12 + 24y) + -3y Combine like terms: 24y + -3y = 21y -28 + 7y = -12 + 21y Solving -28 + 7y = -12 + 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. -28 + 7y + -21y = -12 + 21y + -21y Combine like terms: 7y + -21y = -14y -28 + -14y = -12 + 21y + -21y Combine like terms: 21y + -21y = 0 -28 + -14y = -12 + 0 -28 + -14y = -12 Add '28' to each side of the equation. -28 + 28 + -14y = -12 + 28 Combine like terms: -28 + 28 = 0 0 + -14y = -12 + 28 -14y = -12 + 28 Combine like terms: -12 + 28 = 16 -14y = 16 Divide each side by '-14'. y = -1.142857143 Simplifying y = -1.142857143
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