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Simplifying -43 + 5y + 7 = 3(4y + -2) + -2 Reorder the terms: -43 + 7 + 5y = 3(4y + -2) + -2 Combine like terms: -43 + 7 = -36 -36 + 5y = 3(4y + -2) + -2 Reorder the terms: -36 + 5y = 3(-2 + 4y) + -2 -36 + 5y = (-2 * 3 + 4y * 3) + -2 -36 + 5y = (-6 + 12y) + -2 Reorder the terms: -36 + 5y = -6 + -2 + 12y Combine like terms: -6 + -2 = -8 -36 + 5y = -8 + 12y Solving -36 + 5y = -8 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -36 + 5y + -12y = -8 + 12y + -12y Combine like terms: 5y + -12y = -7y -36 + -7y = -8 + 12y + -12y Combine like terms: 12y + -12y = 0 -36 + -7y = -8 + 0 -36 + -7y = -8 Add '36' to each side of the equation. -36 + 36 + -7y = -8 + 36 Combine like terms: -36 + 36 = 0 0 + -7y = -8 + 36 -7y = -8 + 36 Combine like terms: -8 + 36 = 28 -7y = 28 Divide each side by '-7'. y = -4 Simplifying y = -4
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