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Simplifying 4(y + -6) + -3 = -3(-7y + 7) + -5y Reorder the terms: 4(-6 + y) + -3 = -3(-7y + 7) + -5y (-6 * 4 + y * 4) + -3 = -3(-7y + 7) + -5y (-24 + 4y) + -3 = -3(-7y + 7) + -5y Reorder the terms: -24 + -3 + 4y = -3(-7y + 7) + -5y Combine like terms: -24 + -3 = -27 -27 + 4y = -3(-7y + 7) + -5y Reorder the terms: -27 + 4y = -3(7 + -7y) + -5y -27 + 4y = (7 * -3 + -7y * -3) + -5y -27 + 4y = (-21 + 21y) + -5y Combine like terms: 21y + -5y = 16y -27 + 4y = -21 + 16y Solving -27 + 4y = -21 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. -27 + 4y + -16y = -21 + 16y + -16y Combine like terms: 4y + -16y = -12y -27 + -12y = -21 + 16y + -16y Combine like terms: 16y + -16y = 0 -27 + -12y = -21 + 0 -27 + -12y = -21 Add '27' to each side of the equation. -27 + 27 + -12y = -21 + 27 Combine like terms: -27 + 27 = 0 0 + -12y = -21 + 27 -12y = -21 + 27 Combine like terms: -21 + 27 = 6 -12y = 6 Divide each side by '-12'. y = -0.5 Simplifying y = -0.5
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