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Simplifying 4(-7) = 2y + -38 Multiply 4 * -7 -28 = 2y + -38 Reorder the terms: -28 = -38 + 2y Solving -28 = -38 + 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. -28 + -2y = -38 + 2y + -2y Combine like terms: 2y + -2y = 0 -28 + -2y = -38 + 0 -28 + -2y = -38 Add '28' to each side of the equation. -28 + 28 + -2y = -38 + 28 Combine like terms: -28 + 28 = 0 0 + -2y = -38 + 28 -2y = -38 + 28 Combine like terms: -38 + 28 = -10 -2y = -10 Divide each side by '-2'. y = 5 Simplifying y = 5
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