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Simplifying 4(y + -6) + -14 = 2(y + -3) Reorder the terms: 4(-6 + y) + -14 = 2(y + -3) (-6 * 4 + y * 4) + -14 = 2(y + -3) (-24 + 4y) + -14 = 2(y + -3) Reorder the terms: -24 + -14 + 4y = 2(y + -3) Combine like terms: -24 + -14 = -38 -38 + 4y = 2(y + -3) Reorder the terms: -38 + 4y = 2(-3 + y) -38 + 4y = (-3 * 2 + y * 2) -38 + 4y = (-6 + 2y) Solving -38 + 4y = -6 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -38 + 4y + -2y = -6 + 2y + -2y Combine like terms: 4y + -2y = 2y -38 + 2y = -6 + 2y + -2y Combine like terms: 2y + -2y = 0 -38 + 2y = -6 + 0 -38 + 2y = -6 Add '38' to each side of the equation. -38 + 38 + 2y = -6 + 38 Combine like terms: -38 + 38 = 0 0 + 2y = -6 + 38 2y = -6 + 38 Combine like terms: -6 + 38 = 32 2y = 32 Divide each side by '2'. y = 16 Simplifying y = 16
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