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Simplifying -43 + 2y + 3 = 2(3y + -4) + -4 Reorder the terms: -43 + 3 + 2y = 2(3y + -4) + -4 Combine like terms: -43 + 3 = -40 -40 + 2y = 2(3y + -4) + -4 Reorder the terms: -40 + 2y = 2(-4 + 3y) + -4 -40 + 2y = (-4 * 2 + 3y * 2) + -4 -40 + 2y = (-8 + 6y) + -4 Reorder the terms: -40 + 2y = -8 + -4 + 6y Combine like terms: -8 + -4 = -12 -40 + 2y = -12 + 6y Solving -40 + 2y = -12 + 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. -40 + 2y + -6y = -12 + 6y + -6y Combine like terms: 2y + -6y = -4y -40 + -4y = -12 + 6y + -6y Combine like terms: 6y + -6y = 0 -40 + -4y = -12 + 0 -40 + -4y = -12 Add '40' to each side of the equation. -40 + 40 + -4y = -12 + 40 Combine like terms: -40 + 40 = 0 0 + -4y = -12 + 40 -4y = -12 + 40 Combine like terms: -12 + 40 = 28 -4y = 28 Divide each side by '-4'. y = -7 Simplifying y = -7
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