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Simplifying 2(y + -6) + 3 = 4y + -7 Reorder the terms: 2(-6 + y) + 3 = 4y + -7 (-6 * 2 + y * 2) + 3 = 4y + -7 (-12 + 2y) + 3 = 4y + -7 Reorder the terms: -12 + 3 + 2y = 4y + -7 Combine like terms: -12 + 3 = -9 -9 + 2y = 4y + -7 Reorder the terms: -9 + 2y = -7 + 4y Solving -9 + 2y = -7 + 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. -9 + 2y + -4y = -7 + 4y + -4y Combine like terms: 2y + -4y = -2y -9 + -2y = -7 + 4y + -4y Combine like terms: 4y + -4y = 0 -9 + -2y = -7 + 0 -9 + -2y = -7 Add '9' to each side of the equation. -9 + 9 + -2y = -7 + 9 Combine like terms: -9 + 9 = 0 0 + -2y = -7 + 9 -2y = -7 + 9 Combine like terms: -7 + 9 = 2 -2y = 2 Divide each side by '-2'. y = -1 Simplifying y = -1
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