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Simplifying -21 + 4y + 2 = 2(3y + -3) + -5 Reorder the terms: -21 + 2 + 4y = 2(3y + -3) + -5 Combine like terms: -21 + 2 = -19 -19 + 4y = 2(3y + -3) + -5 Reorder the terms: -19 + 4y = 2(-3 + 3y) + -5 -19 + 4y = (-3 * 2 + 3y * 2) + -5 -19 + 4y = (-6 + 6y) + -5 Reorder the terms: -19 + 4y = -6 + -5 + 6y Combine like terms: -6 + -5 = -11 -19 + 4y = -11 + 6y Solving -19 + 4y = -11 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -19 + 4y + -6y = -11 + 6y + -6y Combine like terms: 4y + -6y = -2y -19 + -2y = -11 + 6y + -6y Combine like terms: 6y + -6y = 0 -19 + -2y = -11 + 0 -19 + -2y = -11 Add '19' to each side of the equation. -19 + 19 + -2y = -11 + 19 Combine like terms: -19 + 19 = 0 0 + -2y = -11 + 19 -2y = -11 + 19 Combine like terms: -11 + 19 = 8 -2y = 8 Divide each side by '-2'. y = -4 Simplifying y = -4
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