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Simplifying 4(y + -3) + 3y = -1(5y + -21) + y Reorder the terms: 4(-3 + y) + 3y = -1(5y + -21) + y (-3 * 4 + y * 4) + 3y = -1(5y + -21) + y (-12 + 4y) + 3y = -1(5y + -21) + y Combine like terms: 4y + 3y = 7y -12 + 7y = -1(5y + -21) + y Reorder the terms: -12 + 7y = -1(-21 + 5y) + y -12 + 7y = (-21 * -1 + 5y * -1) + y -12 + 7y = (21 + -5y) + y Combine like terms: -5y + y = -4y -12 + 7y = 21 + -4y Solving -12 + 7y = 21 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -12 + 7y + 4y = 21 + -4y + 4y Combine like terms: 7y + 4y = 11y -12 + 11y = 21 + -4y + 4y Combine like terms: -4y + 4y = 0 -12 + 11y = 21 + 0 -12 + 11y = 21 Add '12' to each side of the equation. -12 + 12 + 11y = 21 + 12 Combine like terms: -12 + 12 = 0 0 + 11y = 21 + 12 11y = 21 + 12 Combine like terms: 21 + 12 = 33 11y = 33 Divide each side by '11'. y = 3 Simplifying y = 3
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